Question

Find the exact values of the following, giving your answer as fractions

A) 3^-2
B) 4^-3
C) 2^-4

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)} \\\\ -------------------------------\\\\ 3^(-2)\implies \cfrac{1}{3^2}\implies \cfrac{1}{9} \\\\\\ 4^(-3)\implies \cfrac{1}{4^3}\implies \cfrac{1}{64} \\\\\\ 2^(-6)\implies \cfrac{1}{2^6}\implies \cfrac{1}{64}`