### Home > A2C > Chapter 7 > Lesson 7.1.1 > Problem7-12

7-12.

Rewrite each expression below as an equivalent expression without negative exponents.

1. $5^{-2}$

Recall that $x^{-1} = \frac{1}{x}.$

$5^{-2} = \frac{1}{5^2} = \frac{1}{25}$

1. $xy^{-2}$

The base of the negative exponent is $y$ not $xy$.

1. $(xy)^{-2}$

Here, the base of the negative exponent is what is in the parentheses: $xy$.

1. $a^3b^4a^{-4}b^6$

Use the Laws of Exponents to simplify the expression. Then rewrite without negative exponents.

$\frac{b^{10}}{a}$