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Simplify each expression. Write all answers with positive exponents. Assume that all variables represent positive real numbers. See Example 5 .$$\left(\frac{2^{-2} w^{-3 / 4} x^{-5 / 8}}{w^{3 / 4} x^{-1 / 2}}\right)^{-3}$$
Algebra
Chapter 10
Roots, Radicals, and Root Functions
Section 2
Rational Exponents
Decimals
Exponents and Polynomials
Equations and Inequalities
Complex Numbers
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Okay, so what? Simplify by starting with our inside terms so we can use our quotient role between or wrnr X. So we have a W to the part of negative 3/4 minus 3/4 and an extra part of their to 5/8 minus and negative. So that's plus a 1/2. And this is all to the power of negativity. Okay, so let's simplify what we have. So that's W to the power of 3446 6/4. So that's a negative 3/2. Okay, and then we have extra power of negative 5/8, plus a 1/2. So that gives us a negative 1/8. I know that's all to power. Figure of three. Let's pull in that negative drink, so that gives us a two to the power of two times three. That's a six, the beautiful part of 9/2 and an X to the power of 3/8, and we'll to serve our six. That's a 64. Get 64. They'll be to part of nine over to an extra power of 3/8
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