### Home > A2C > Chapter 4 > Lesson 4.2.1 > Problem4-68

4-68.

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

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.

25 = 32

32

2. (x5y4 )1/2

$\text{Remember that a number raised to the }\frac{1}{2}\text{ power}$

$\text{is the square root of that number.}$

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

3. (x2y1)(x3y)0

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

$\left(x^{2}y^{−1}\right)\left(1\right)$