# How do you find the quotient 5^5/5^2?

Jan 14, 2017

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$
${5}^{\textcolor{red}{5}} / {5}^{\textcolor{b l u e}{2}} = {5}^{\textcolor{red}{5} - \textcolor{b l u e}{2}} = {5}^{3} = 5 \times 5 \times 5 = 25 \times 5 = 125$