Question

What is the quotient 7^-4/7^-9

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \cfrac{7^{-4}}{7^{-9}}\implies 7^{-4}\cdot 7^9\implies 7^{-4+9}\implies 7^5\implies 16807$

Answer 2

7^5 is your answer

Hope this helps