### Home > CCA2 > Chapter 2 > Lesson 2.2.1 > Problem2-86

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 5th power.

$2^5=32$

32

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

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

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

3. $(x^2y^{−1})(x^{−3}y)^0$

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

$(x^2y^{−1})(1)$