Question

Can you help me with number 10

Answer 1

`\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{(3^(-2))^2}{3^(-3)}\implies \cfrac{3^(-2\cdot 2)}{3^(-3)}\implies \cfrac{3^(-4)}{3^(-3)}\implies \cfrac{1}{3^(-3)\cdot 3^4}\implies \cfrac{1}{3^(-3+4)}\implies \cfrac{1}{3^1}\implies \cfrac{1}{3}`