Question

9 to the power of -4 times 9 to the third power

Answer 1

Answer:

0.11111111111 or 0.11 repeating decimal

Answer 2

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 9^{-4}\cdot 9^3\implies 9^{-4+3}\implies 9^{-1}\implies \cfrac{1}{9}$