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}`