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Simplify each radical. Assume that all variables represent positive real mumbers. See Example 3 .$$-\sqrt[4]{\frac{625}{y^{4}}}$$
Algebra
Chapter 10
Roots, Radicals, and Root Functions
Section 3
Simplifying Radical Expressions
Decimals
Exponents and Polynomials
Equations and Inequalities
Complex Numbers
Missouri State University
Oregon State University
Baylor University
University of Michigan - Ann Arbor
Lectures
01:32
In mathematics, the absolu…
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00:21
Simplify each radical. Ass…
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Express each radical in si…
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Simplify each radical expr…
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Okay, This is the same as negative Four through 6 25 all over the four through. Why did for us? And when you're doing the 43 to 4 the fourth, the shortcut there is that you're going to divide the expert on the variable by the type of product we have here, the degree of radical. So Ford about before is one. So we know the answer is gonna be a just a why they're on bottom. And then the spirit of the four through of 6 25 um 6 25 25 times 25. So four through it must be fight in spite of its five spot. Right, So this is gonna be five. So the final answer is negative five or why that's your finalists. Remember, when you doing the fourth root of white of the fourth? You can also think of it as the fourth root of wine of the fourth Equalling. Why the fourth raise to the 1/4 power? Because when you write a radical, it costs weirdness. An expert right when you raise it as an exponents, more power to a powerful tells you that when you're raising power to a power, even multiply the expanse. And so what's Ford to the 1/4? Four times? One for sweat? Um, everyone. So that's one of the first. Which is why it's why right here, that's another way to think about it.
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