Answer
$32,768$
Work Step by Step
RECALL:
(i) $\dfrac{a^m}{a^n} = a^{m-n}$
(ii) $a^{m} \cdot a^{n} = a^{m+n}$
Use rule (ii) above to have:
$=\dfrac{8^{9+(-7)}}{8^{-3}}
\\=\dfrac{8^{2}}{8^{-3}}$
Use rule (i) above to have:
$=8^{2-(-3)}
\\=8^{2+3}
\\=8^5
\\=32,768$
