Question

Simplifique: (se possível com explicações de como fazer)
$\frac{ 2 {}^{9} \times 5 {}^{13} }{2 {}^{5} \times 5 {}^{6} }$
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Answer 1

$\frac{2^9~.~5^{13}}{2^5~.~5^6}~~=~~2^9~.~5^{13}~.~2^{-5}~.~5^{-6}~~=~~2^9~.~2^{-5}~.~5^{13}~.~5^{-6}~~=\\\\\\=~2^{9+(-5)}~.~5^{13+(-6)}~~=~~\boxed{2^{4}~.~5^{7}}$