Mathematics, 20.08.2019 15:30 ashleygarcia0884
Simplify by factoring. assume that all expressions under radicals represent nonnegative numbers.
rewrite without rational exponents, and simplify, if possible.
Answers: 1
![\left(x^4y^4\right)^\frac{1}{3}=\left(x^4\right)^\frac{1}{3}\left(y^4\right)^\frac{1}{3}=x^{4\cdot\frac{1}{3}}y^{4\cdot\frac{1}{3}}=x^\frac{4}{3}y^\frac{4}{3}=x^{1+\frac{1}{3}}y^{1+\frac{1}{3}}\\\\=x^1x^\frac{1}{3}y^1y^\frac{1}{3}=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}](/tpl/images/0181/9989/5d2b2.png)
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Simplify by factoring. assume that all expressions under radicals represent nonnegative numbers.
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