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Simplify each radical. Assume that all variables represent positive real mumbers. See Example 3 .$$\sqrt[5]{\frac{32}{y^{20}}}$$
Algebra
Chapter 10
Roots, Radicals, and Root Functions
Section 3
Simplifying Radical Expressions
Decimals
Exponents and Polynomials
Equations and Inequalities
Complex Numbers
Campbell University
McMaster University
University of Michigan - Ann Arbor
Lectures
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Hey, the history of the stretch over 1/20 is the same as the fifth through about 32 all over the fifth through of White of the 20th. And when we're doing the fifth root of 32 um, which I think of what number that would work with That might be too. Right. So what's two times? Two times, two times? Two times two? Well, that's four times four times to which is eight times to start 16 times. Teoh, which works right? Those 16 times two is, in fact, 32. Right, So we know that it's gonna be a two for the numerator, so we're gonna right? That is it to and for the dominator, the shark It is when you have one of the 23. So you're taking the fifth root of that? You just take the expert on the very boring divided by the route. So 20 divided by five is one of the fourth. Okay, A Just think about that another way. Why did the 20th rate taking the fifth root of that is the same is raising it to the 1/5 power. And when you raise the power to a power used both by the exponents. That's why I was 20 times 1/5 which is what for? That's your extra rights. That's I do the problem. The answer is too overwhelming for
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