The fractional exponents rule says, a 1/n = n √a. i.e., When we have a fractional exponent, it results in radicals. For example, a 1/2 = √a, a 1/3 = ∛a, etc. This rule is further extended for complex fractional exponents like a m/n.Using the power of a power rule of exponents (that we have studied in one of the previous sections),There are two ways that fractions get involved in exponents. The first is when the exponent itself is a fraction. The second is when the base is a fraction, and we’re raising that fractional base to an exponent. This lesson will cover how to find the power of a fraction as well as introduce how to work with fractional exponents.Learn how to evaluate powers that are negative unit fractions, such as 9 raised to -½ and 27 raised to -⅓. Watch a video, see examples, and read comments from other learners.For example, the cube root, or the 5th root of a negative number. In summary, roots are represented by fractional exponents. That's the big idea. The square root of a quantity, equals that quantity to the power of one half. That is, by far, the most common fractional exponent you'll see on the exam. The power b to the 1 over n means the nth ... Learn how to evaluate fractional exponents with negative unit-fractions, fractions, and mixed radicals. Watch a video tutorial and see examples, tips, and comments from other learners. If you happen to do this, then you have changed the exponent. For example: An exponent of 1/3 = Do a cube root. If you convert it to decimal form: 1/3 = 0.33333... with the 3 repeating. If it …In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power.Exponentiation is written as b n, where b is the base and n is the power; this is pronounced as "b (raised) to the (power of) n ". When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the …Evaluating fractional exponents: fractional base (Opens a modal) Evaluating quotient of fractional exponents (Opens a modal) Evaluating mixed radicals and exponents (Opens a modal) Practice. Evaluate radical expressions challenge Get 3 of 4 questions to level up! Equivalent forms of exponential expressions . Learn. Rewriting exponential expressions …Last week, we mentioned that Vladik Rikhter used Google AdWords to max out his Dropbox account with all the space he could get from referrals for a fraction of the cost required to...Simplify Calculator. Step 1: Enter the expression you want to simplify into the editor. The simplification calculator allows you to take a simple or complex expression and simplify and reduce the expression to it's simplest form. The calculator works for both numbers and expressions containing variables. Step 2:Any rational number can be expressed as . Then, for =. This is exactly what we would get if we assume the same power rule holds for fractional exponents as does for integral exponents. Note that we did not need to assume anything about the signs of , other than the fact that cannot be zero. Therefore, our power rule can now safely be applied to ...30 Jan 2016 ... Hi. I'm having a problem with fractional exponents and higher order roots in sage. If I put (-2)** (6/2), sqrt((-2)** 6), the result is (-8, ...May 15, 2018 · Dealing with fractional exponents — Krista King Math | Online math help In this lesson we’ll work with both positive and negative fractional exponents. Fractional exponents. To use the power function with a fractional exponent, enter the fraction directly as the power argument: =POWER(27,1/3) // returns 3 =POWER(81,1/4) // returns 3 =POWER(256,1/8) // returns 2 Exponent operator. In Excel, exponentiation can also be handled with the exponent (^) operator, so:Introduction. This article explains how to typeset fractions and binomial coefficients, starting with the following example which uses the amsmath package : \[ \binom{n}{k} = \frac{n!}{k!(n-k)!} \] \end{ document } Open this example in Overleaf. The amsmath package is loaded by adding the following line to the document preamble:For example, the cube root, or the 5th root of a negative number. In summary, roots are represented by fractional exponents. That's the big idea. The square root of a quantity, equals that quantity to the power of one half. That is, by far, the most common fractional exponent you'll see on the exam. The power b to the 1 over n means the nth ... A fractional exponent is one in which the exponent of a number is a fraction. The general rule is that a fractional exponent like 1/n means to take the n-th root of a number. For example, 2 1/2 is equal to √2, 2 1/3 is ³√2, 2 1/4 is ∜2, and so on. Mateusz Mucha and Piotr Małek. b x = a. Base (b)Calculating Fractional Exponents in Java. We can also use the Math.pow() function to calculate fractional exponents in Java. A fractional exponent is the equivalent to taking the root of the number. For example, we can get the square root using an exponent of 1/2. The following example program shows how Math.pow() can be used to calculate a ...Also, when we have a negative fractional exponent, we can simplify the expression by using the reciprocal property, that means the reciprocal of a number raised to a power is the same as one divided by the number raised to the power. In summary, negative fractional exponents are exponents that have a negative value in the form of a fraction. Definition of Rational Exponents. So far, exponents have been limited to integers. In this section, we will define what rational (or fractional) exponents mean and how to work with them. All of the rules for exponents developed up to this point apply. In particular, recall the product rule for exponents. Given any rational numbers m and n, thenUnit 2 Algebraic expressions. Unit 3 Linear equations and inequalities. Unit 4 Graphing lines and slope. Unit 5 Systems of equations. Unit 6 Expressions with exponents. Unit 7 Quadratics and polynomials. Unit 8 Equations and geometry. Course challenge. Test your knowledge of the skills in this course.Learn how to simplify and evaluate expressions with fractional exponents and bases using the rules of algebra. Watch a video tutorial and see examples of how to use the factor tree, the power rule, and the negative exponent rule. Fractional exponents are commonly used when calculating square roots. In the previous section, we learned about exponents such as 4 2 or 5 9 or 9 3. Examples of fractional exponents are 4 2/5 or 5 4/5 or 9 6/4. Fractional exponents are also written as. With ‘x’ being the base, ‘n’ denoting the numerator and ‘d’ being the denominator.Superscript text contains small letters that appear above the type's baseline. Exponents ('²') appear in superscript text, as do ordinal indicators ('1ˢᵗ') and trademark symbols ('...The fraction exponent calculator is easy to solve the exponent’s Fractional Exponents have Different Numerators than “1”. Example: Let’s try to understand where the base x = 4, fractional exponent = 3/2, the numerator part is 3 which is first solved then we solve the (½) the denominator part. 4 3/2 = 4 (3 * 1/2) = (43)1/2 = √ (4³ ...A rare old penny can be worth a fortune, or it may be worth a penny. If you show your old coins to a dealer, he'll tell you which it is--but you may wonder if you can trust him, or...With this calculator, you will easily calculate fractional exponents.In this article, we will talk about the math operation of the exponent, which can be represented in the form of a notation as b n.If you have been in doubt so far with everything that this concept brings with it, what fractional exponents are and which rules should be …30 Jan 2016 ... Hi. I'm having a problem with fractional exponents and higher order roots in sage. If I put (-2)** (6/2), sqrt((-2)** 6), the result is (-8, ...How do you evaluate fractional exponents? xa b = b√xa = ( b√x)a. You can just remember this rule, or you can learn about why this is: fractional exponent 1 b. So first we're going to look at an expression of the form: x1 b. To investigate what this means, we need to go from x → x1 b and then deduce something from it. x1 = xb b = x1 b⋅b. Learn what fractional exponents are, how to use them to find the n-th root of a number, and how to graph them. See examples of whole number and fractional exponents, and how they relate to each other. Find out the general rule and the laws of exponents for multiplying and dividing fractions. Interested in real estate investing? With Arrived Homes you can earn passive income from rentals. Explore our Arrived Homes review. Arrived users can buy fractional shares of indiv...The basic rule in adding and subtracting variables with exponents is they must be like terms. Like terms consist of the same variable or set of variables raised to the same power. ...For this equation to logically hold, the exponents must be equal, and so we can say that. x1 =xab 1 = ab x 1 = x a b 1 = a b. By the Multiplicative Inverse Property (see section on Reintroducing Arithmetic), we know that if ab = 1 a b = 1 then a a and b b must be multiplicative inverses, and so Here is a general proof for all rational numbers ...Course: Algebra 2 > Unit 6. Lesson 1: Rational exponents. Intro to rational exponents. Unit-fraction exponents. Rewriting roots as rational exponents. Fractional exponents. Rational exponents challenge. Exponential equation with rational answer. Math >.Learn about supervised exercise training as a promising therapy for chronic heart failure with preserved ejection fraction on the AHA's website. Stay informed. Last Updated: April ...Oct 18, 2023 · What are Fractional Exponents? Powers and roots can be expressed jointly using fractional exponents. In any general exponential expression of the form ab, a is the base and b is the exponent. When b is given in the fractional form, it is known as a fractional exponent. A fractional exponent is a technique for expressing powers and roots together. The general form of a fractional exponent is: Radicand: The radicand is the expression under the sign √. In the expression above, the radicand is. Index: The index or also known as the order of the radical, is the number that indicates which root is being applied. A fractional exponent is a short hand for expressing the square root or higher roots of a variable. The last of the above terms – ‘m 2/5 ‘, is ‘fifth root of m squared’. Let us take a look at the rules for solving fractional exponents before diving into illustrative examples. Rules For Solving Fractional Exponents. The rules for ... Learn how to use fractional exponents to represent powers and roots at the same time. Find out how to add, subtract, multiply, and divide terms with fractional exponents with …What Is a Fraction Exponent? Fraction exponents are a way of writing powers of numbers as fractions. While writing rational exponents (another possible name for fractional powers), you must know that: The numerator is the power of the term that is written inside the root; The denominator is the power of the root itself; General Form: The ... Our picks for the best laminate flooring options can last for decades and provide the look of real wood at a fraction of the price. Read here to learn more. Expert Advice On Improv...Use this calculator to find the fractional exponent of a number x. With fractional exponents you are solving for the d th root of the number x raised to the …Cite this lesson. Radical expressions with roots can be converted to fractional exponents by reworking their parts—the radicand and index—into the base and denominator of a fraction. See the ...Fractional exponents provide a compact and useful way of expressing square, cube and higher roots. The denominator on the exponent tells you what root of the “base” number the term represents. In a term like x a , you call x the base and a the exponent. So a fractional exponent tells you:Algebra. Exponents and powers with decimal and fractional bases. IXL Algebra 1 V.2 code 7SSWe will use the Power Property of Exponents to find the value of p. (8p)3 = 8 Multiply the exponents on the left. 83p = 8 Write the exponent 1 on the right. 83p = 81 Since the bases are the same, the exponents must be equal. 3p = 1 Solve forp. p = 1 3. So (81 3)3 = 8. But we know also (3√8)3 = 8.In this Chapter . 1. Simplifying Expressions with Integral Exponents - defines exponents and shows how to use them when multiplying or dividing in algebra.. 2. Fractional Exponents - shows how an fractional exponent means a root of a number . 3. Simplest Radical Form - this technique can be useful when simplifying algebra . 4. Addition and …To summarize, we have developed three very useful rules of exponents that are used extensively in algebra. If given positive integers m and n, then. Product rule: xm ⋅ xn = xm + n. Quotient rule: xm xn = xm − n, x ≠ 0. Power rule: (xm)n = …17 Aug 2012 ... This video explains how fractional exponents and radicals relate. The video includes multiple examples including some with negative ...There are two ways that fractions get involved in exponents. The first is when the exponent itself is a fraction. The second is when the base is a fraction, and we’re raising that fractional base to an exponent. This lesson will cover how to find the power of a fraction as well as introduce how to work with fractional exponents.The exponent calculator simplifies the given exponential expression using the laws of exponents. Step 2: Click the blue arrow to submit. Choose "Simplify" from the topic selector and click to see the result in our Algebra Calculator! Examples. Simplify Simplify Simplify Simplify Simplify . Popular Problems . Simplify (a 1 2 b) 1 2 (a b 1 2) Simplify (m 1 4 n 1 2) …In this explainer, we will learn how to simplify fractional indices. When we talk about expressions that contain rational exponents, we are referring to any expression in the form 𝑥, where the exponent is a fraction.. In order to introduce rational exponents, let us first recall the product rule of exponents, which states that 𝑥 × 𝑥 = 𝑥.Here we will learn about fractional powers, including what they are, how to simplify and evaluate them, and how to combine them with other laws of exponents. There are also powers and roots worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.Frugal living blog Squawkfox's make-it-yourself Starbucks Frappuccino includes cost breakdowns, lots of photos, and a secret ingredient that can deliver your caffeine guilty pleasu...To simplify an expression with fractions find a common denominator and then combine the numerators. If the numerator and denominator of the resulting fraction are both divisible by the same number, simplify the fraction by dividing both by that number. Simplify any resulting mixed numbers. Show more.Fractional powers are a type of index that represents the nth root of a number. In general, the rule for fractional exponents is x^{\frac{m}{n}}=\sqrt[n]{x^{m}} . Where m and n are constants and n ≠ 0 . For example, 9^{\frac{1}{2}}=\sqrt{9}=3 . m=1, n=2, and x=9 , so we are calculating the second root, or the square root of 9 which is equal ... Evaluate 27 2 3 . Steps Solution 1. Express the base in exponential form. (27 = 33) 27 2 3 = (33) 2 3 2. Use the power of a power law of exponents. = (33) 2 3 or 3 6 3 = = 32 = 9 3. Simplify the result by applying the laws of exponents. So, 27 2 3 = 9. 6. Example 3. Evaluate (32) 4 5 Steps Solution 1.If you happen to do this, then you have changed the exponent. For example: An exponent of 1/3 = Do a cube root. If you convert it to decimal form: 1/3 = 0.33333... with the 3 repeating. If it gets rounded to 0.3, the exponent would then be 3/10 which means do the 10th root, then cube the result. Videos, worksheets, solutions, and activities to help Algebra 1 students learn about Rational Exponents, Fractional Exponents, and Fractional Powers. The following diagram shows how to convert between rational exponents and radical notation. Scroll down the page for more examples and solutions of rational exponents.In math, the definition of an exponent is a numerical notation that indicates the number of times a number is to be multiplied by itself. The exponent is written as a small number ...Learn how to simplify expressions with fractional exponents and fractional bases using prime factorization and negative exponents. Watch a video example and see …You only have to consider the "definition" of fractional exponents, if that is what you would call it. This is because the base is the same for both of them (3). The denominator of the exponent will always be whichever root is taken (fifth in this case). The numerator is what the number is being raised to (2). Therefore, the exponent (a) is 2/5.The exponent calculator simplifies the given exponential expression using the laws of exponents. Step 2: Click the blue arrow to submit. Choose "Simplify" from the topic selector and click to see the result in our Algebra Calculator! Examples. Simplify Simplify Simplify Simplify Simplify . Popular Problems Fractional (rational) exponents are an alternate way to express radicals. If x is a real number and m and n are positive integers: The denominator of the fractional exponent becomes the index (root) of the radical. The numerator of the fractional exponent becomes the power of the value under the radical symbol OR the power of the entire radical. When we have a fraction with a root in the denominator, like 1/√2, it's often desirable to manipulate it so the denominator doesn't have roots. To do that, we can multiply both the numerator and the denominator by the same root, that will get rid of the root in the denominator. For example, we can multiply 1/√2 by √2/√2 to get √2/2.Rational (or fractional) exponents are another way of writing expressions with radicals. When we use rational exponents, we can apply the properties of exponents to simplify expressions. You can study radicals in detail in Section 10.2, but for a brief reminder, we have the following.Unit 5 Exponents intro and order of operations. Unit 6 Variables & expressions. Unit 7 Equations & inequalities introduction. Unit 8 Percent & rational number word problems. Unit 9 Proportional relationships. Unit 10 One-step and two-step equations & inequalities. Unit 11 Roots, exponents, & scientific notation. Unit 12 Multi-step equations.A fractional exponent is a number's exponent that is a fraction. Powers and roots can be represented using fractional exponents. A is the base, and b is the exponent, in any generic exponential equation of the type ab. A fractional exponent is defined as the value of b expressed in fractional form. Square roots, cube roots, and the nth root are ...Can't afford picture wire? Make your own at a fraction of the cost! Expert Advice On Improving Your Home Videos Latest View All Guides Latest View All Radio Show Latest View All Po...Here we will learn about fractional powers, including what they are, how to simplify and evaluate them, and how to combine them with other laws of exponents. There are also powers and roots worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.Let's do a few more of these, or similar types of problems dealing with roots and fractional exponents. The following equation is true for g greater than or equal to zero, and d is a constant. What is the value of d? Well, if I'm taking the sixth root of something, that's the same thing as raising it to the 1/6 power. So, the sixth root of g to ...May 15, 2018 · Dealing with fractional exponents — Krista King Math | Online math help In this lesson we’ll work with both positive and negative fractional exponents. Nov 24, 2015 · A fractional exponent is an alternate notation for expressing powers and roots together. For example, the following are equivalent. We write the power in numerator and the index of the root in the ... Evaluating fractional exponents: fractional base (Opens a modal) Evaluating quotient of fractional exponents (Opens a modal) Evaluating mixed radicals and exponents (Opens a modal) Practice. Evaluate radical expressions challenge Get 3 of 4 questions to level up! Equivalent forms of exponential expressions . Learn. Rewriting exponential expressions …Nov 21, 2023 · A negative exponent on a whole number means you will write the base and exponent, with the exponent changed to positive, as a fraction with a numerator of 1. Look at the example shown here ... Definition of Fractional Exponents. Fractional exponents are a way to represent powers and roots at the same time. When an exponent is fractional, the numerator is the power and the denominator is the root. For example, x 3 ⁄ 2 = 2 √(x 3). We can see that the numerator of the fractional exponent is 3 which raises x to the third power. So a base number with an exponent to the ⅓ would be a cube root and a base number with an exponent to the ¼ would be the 4th root. Let’s put it to work for us: 7 ⅓ = 3 √7. 7 ¼ = 4 √7. The general rule for working with fractional exponents x 1/n = The n-th root of x. We can restate this to make it workable as: x 1/n = n √x.Equations with Fractional Exponents. We have seen already when covering Lesson 3 that fractional exponents are simply an alternate way of expressing radicals. √6 = (6) So a square root is equivalent to a power of. 2, which is the reciprocal of the index 2. The same is true for any radical; to express a radical as an exponent, we simply need ...
I'm seeing unexpected results when I use the ** operator with fractional exponents. Specifically, it's producing complex numbers for values that should not be complex: >>> (-1)**(1/3) (0.5000000000000001+0.8660254037844386j) The cube root of -1, of course, has a real number root at -1, which is what I would expect to come back.. Zelle app download apk
Raising fractions to a power is a fundamental math skill. To do this, simply multiply the numerators and denominators separately. For example, when raising a fraction like 2/3 to the third power, multiply the numerators (2 × 2 × 2 = 8) and the denominators (3 × 3 × 3 = 27) to get the result 8/27. This method applies to all powers, making it ...Interested in real estate investing? With Arrived Homes you can earn passive income from rentals. Explore our Arrived Homes review. Arrived users can buy fractional shares of indiv...Calculating Fractional Exponents in Java. We can also use the Math.pow() function to calculate fractional exponents in Java. A fractional exponent is the equivalent to taking the root of the number. For example, we can get the square root using an exponent of 1/2. The following example program shows how Math.pow() can be used to calculate a ...Feb 16, 2006 · Any rational number can be expressed as . Then, for =. This is exactly what we would get if we assume the same power rule holds for fractional exponents as does for integral exponents. Note that we did not need to assume anything about the signs of , other than the fact that cannot be zero. Therefore, our power rule can now safely be applied to ... Fractional exponents follow the same rules as other types of exponents. Refer to the exponent rules page to review exponent rules if necessary, as knowing exponent rules can simplify computation of fractional exponents in many cases. n th roots. If the numerator of a fractional exponent is 1, the expression is computed as the n th root of the ... Exponent properties review. Google Classroom. Review the common properties of exponents that allow us to rewrite powers in different ways. For example, x²⋅x³ can be written as x⁵. Property. Example. x n ⋅ x m = x n + m. . 2 3 ⋅ 2 5 = 2 8.Feb 17, 2020 · More Lessons: http://www.MathAndScience.comTwitter: https://twitter.com/JasonGibsonMathIn this lesson, you will learn what a rational exponent is and how to ... Fraction Exponent Rules: Multiplying Fractional Exponents With the Same Base. Multiply terms with fractional exponents (provided they have the same base) by …Fractional (rational) exponents are an alternate way to express radicals. If x is a real number and m and n are positive integers: The denominator of the fractional exponent becomes the index (root) of the radical. The numerator of the fractional exponent becomes the power of the value under the radical symbol OR the power of the entire radical.Watch this video to find out how to combine several separate pieces of stock molding together to create the look of custom molding at a fraction of the cost. Expert Advice On Impro...Let's do a few more of these, or similar types of problems dealing with roots and fractional exponents. The following equation is true for g greater than or equal to zero, and d is a constant. What is the value of d? Well, if I'm taking the sixth root of something, that's the same thing as raising it to the 1/6 power. So, the sixth root of g to ...Fractional exponents provide a compact and useful way of expressing square, cube and higher roots. The denominator on the exponent tells you what root of the “base” number the term represents. In a term like x a , you call x the base and a the exponent. So a fractional exponent tells you:A fractional exponent is an alternate notation for expressing powers and roots together. For example, the following are equivalent. We write the power in numerator and the index of the root in the ...The Google stock split is here at last. Interested investors have the chance to buy GOOGL stock at a nearly 10-year low of just $112. Alphabet is climbing after a monumental split ...For this equation to logically hold, the exponents must be equal, and so we can say that. x1 =xab 1 = ab x 1 = x a b 1 = a b. By the Multiplicative Inverse Property (see section on Reintroducing Arithmetic), we know that if ab = 1 a b = 1 then a a and b b must be multiplicative inverses, and so Here is a general proof for all rational numbers ....
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All of those voices | We also treat each of the "special cases" such as negatitive and fractional exponents to integrate functions involving roots and reciprocal powers of \(x\). The power rule for integration is an essential step in learning integration , make sure to work through all of the exercises and to watch all of the tutorials.Working Together. Exponents and Logarithms work well together because they "undo" each other (so long as the base "a" is the same): They are "Inverse Functions". Doing one, then the other, gets us back to where we started: Doing ax then loga gives us back x: loga(ax) = x. Doing loga then ax gives us back x: aloga(x) = x....
Gobble gobble | 2. Fractional Exponents. Fractional exponents can be used instead of using the radical sign (√). We use fractional exponents because often they are more convenient, and it can make algebraic operations easier to follow. Fractional Exponent Laws. The n-th root of a number can be written using the power `1/n`, as follows: `a^(1/n)=root(n)a` Modified 10 years, 4 months ago. Viewed 4k times. 3. Take the following: f(x) =x6/4 f ( x) = x 6 / 4. The domain of this function is all real numbers. This function can be simplified to: f(x) =x3/2 f ( x) = x 3 / 2. The domain of this function is all …Fractions are the numbers made up of an integer divided by another integer. Exponents are the number that a certain number is raised to. (1/2)^3, (3/4)^10, and (2/9)^4 are all examples of ......
Dynasty daddy | Mar 4, 2020 · Are you looking for a quick explanation of Fractional Exponents and how to express exponents and roots together!This Fractional Exponents video lesson includ... I'm seeing unexpected results when I use the ** operator with fractional exponents. Specifically, it's producing complex numbers for values that should not be complex: >>> (-1)**(1/3) (0.5000000000000001+0.8660254037844386j) The cube root of -1, of course, has a real number root at -1, which is what I would expect to come back....
Text message birthday cards | Rational exponents refer to exponents that are/can be represented as fractions: 1 2 , 3 , and − 2 3 are all considered rational exponents. Radicals are another way to write rational exponents. For example, x 1 2 and x are equivalent. In this lesson, we'll: Review the rules of exponent operations with integer exponents.Rational exponents refer to exponents that are/can be represented as fractions: 1 2 , 3 , and − 2 3 are all considered rational exponents. Radicals are another way to write rational exponents. For example, x 1 2 and x are equivalent. In this lesson, we'll: Review the rules of exponent operations with integer exponents....
Frases en ingles | Unit 5 Exponents intro and order of operations. Unit 6 Variables & expressions. Unit 7 Equations & inequalities introduction. Unit 8 Percent & rational number word problems. Unit 9 Proportional relationships. Unit 10 One-step and two-step equations & inequalities. Unit 11 Roots, exponents, & scientific notation. Unit 12 Multi-step equations.A fractional exponent indicates the root of the base taken to the power of the numerator of the fractional exponent. When solving a mathematical expression that involves adding and subtracting ......
Nespresso vertuo plus | Raising fractions to a power is a fundamental math skill. To do this, simply multiply the numerators and denominators separately. For example, when raising a fraction like 2/3 to the third power, multiply the numerators (2 × 2 × 2 = 8) and the denominators (3 × 3 × 3 = 27) to get the result 8/27. This method applies to all powers, making it ...Can't afford picture wire? Make your own at a fraction of the cost! Expert Advice On Improving Your Home Videos Latest View All Guides Latest View All Radio Show Latest View All Po......