Question

Simplify each expression. Write your answers in exponential notation.

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)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{36b^3}{9a^5} \right)^3\implies \left( \cfrac{4b^3}{a^5} \right)^3\implies \stackrel{\textit{distributing the exponent}}{\left(\cfrac{4^3b^(3\cdot 3)}{a^(5\cdot 3)}\right)}\implies \cfrac{64b^9}{a^(15)}`