Question

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

Answer 1

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ 3^{-2}\implies \cfrac{1}{3^2}\implies \cfrac{1}{9} \\\\\\ 4^{-3}\implies \cfrac{1}{4^3}\implies \cfrac{1}{64} \\\\\\ 2^{-6}\implies \cfrac{1}{2^6}\implies \cfrac{1}{64}$