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2-86.

Rewrite each of the following expressions so that your answer has no negative or fractional exponents. Homework Help ✎

1. $16^{5/4}$

Rewrite the expression:

$(16^{\frac{1}{4}})^5=(\sqrt[4]{16})^5$

First find the fourth root of $16$.

$\sqrt[4]{16}=2$

Now raise the $2$ to the $5^{\text{th}}$ power.

$2^5=32$

$32$

1. $(x^5y^4)^{1/2}$

Remember that a number raised to the $\frac{1}{2}$ power is the square root of that number.

$\textit{x}^{2}\textit{y}^{2}\sqrt{\textit{x}}$

1. $(x^2y^{-1})(x^{-3}y)^0$

Remember that any number to the $0$ power is $1$. Remember to rewrite it without negative exponents.