How do you express 5^-2 as a positive exponent?

Jan 21, 2017

$\frac{1}{5} ^ 2$
To express ${5}^{-} 2$ as a positive exponent we will use this rule of exponents:
${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$
${5}^{\textcolor{red}{- 2}} = \frac{1}{5} ^ \textcolor{red}{- - 2} = \frac{1}{5} ^ 2$