# How do you simplify 4^-2?

To simplify use the exponent rule: ${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$
${4}^{\textcolor{red}{- 2}} = \frac{1}{4} ^ \textcolor{red}{- - 2} = \frac{1}{4} ^ 2 = \frac{1}{4 \times 4} = \frac{1}{16} = 0.0625$