Question

Simplify 9 to the 2nd over 9 to the 7th. 95 1 over 9 to the 9th 1 over 9 to the negative 5th 1 over 9 to the 5th

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}}\\\\ -------------------------------\\\\ \cfrac{9^2}{9^7}\implies \cfrac{1}{9^{-2}9^7}\implies \cfrac{1}{9^{-2+7}}\implies \cfrac{1}{9^5}\implies \cfrac{1}{59049}$