Question

Find the equivalent expression of 3^-2

Answer 1

`\bf 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{3^2}{3^4}\implies 3^2\cdot 3^(-4)\implies 3^(2-4)\implies 3^(-2)\quad \checkmark \\\\\\ \cfrac{3^1}{3^3}\implies 3^1\cdot 3^(-3)\implies 3^(1-3)\implies 3^(-2)\quad \checkmark`