Question

Which choices are equivalent to the fraction below? Check all that apply.

3^9/3^9

 A.3^18 B.3^1 C.0 D.3^0 E.1

Answer 1

`\bf \left.\qquad \qquad \right.\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{3^9}{3^9}\implies 3^9\cdot 3^(-9)\implies 3^(9-9)\implies 3^0\implies 1`