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

Respuesta :

[tex]\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[/tex]