# How do you simplify 4^-2 ?

Oct 28, 2015

$\frac{1}{16}$

#### Explanation:

Anything with a negative exponent is the inverse of it. So for example if I had ${2}^{-} 2$, I would write it as $\frac{1}{2} ^ 2$.

${4}^{-} 2 = \frac{1}{4} ^ 2 = \frac{1}{16} = 0.0625$
The answer is $\frac{1}{16}$.
The negative sign in the -2 exponent implies that the number changes sides in a fraction. In other words, the ${4}^{-} 2$ would move to the denominator. It would simplify to $\frac{1}{4} ^ 2$, or $\frac{1}{16}$.