# How do you write 5^-3 using only positive exponents?

Use this rule for exponents: ${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$
${5}^{\textcolor{red}{- 3}} = \frac{1}{5} ^ \textcolor{red}{- - 3} = \frac{1}{5} ^ 3 = \frac{1}{125}$