# How do you simplify 4^-2?

Aug 10, 2016

$\frac{1}{16}$

#### Explanation:

One of the laws of indices states:

${x}^{- m} = \frac{1}{x} ^ m$

To change the sign of the exponent, move the base to either the denominator or numerator.

${4}^{- 2} = \frac{1}{4} ^ 2$

= $\frac{1}{16}$