Question

Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22

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{2^5}{8}\qquad \boxed{8=2^3}\qquad \cfrac{2^5}{2^3}\implies 2^5\cdot 2^(-3)\implies 2^(5-3)\implies 2^2`