Question

Simplify
3 Power -5 * 10 power -5 * 125 / 6 power -5 * 5 power -7

Answer 1

$Value \: of \: \frac{3^{-5} \times 10^{-5} \times 125 }{6^{-5} \times 5^{-7} } \\= \Big( \frac{3 \times 10}{6}\Big)^{-5} \times \frac{5^{3}}{5^{-7}}$

$= 5^{-5} \times 5^{3+7} \\= 5^{-5}\times 5^{10} \\= 5^{-5+10} \\= 5^{5}$

Therefore.,

$\red{Value \: of \: \frac{3^{-5} \times 10^{-5} \times 125 }{6^{-5} \times 5^{-7} }}\green {=5^{5} }$

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