Question

please tell answer of the following.
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Answer 1

Answer:

$\frac{{3}^{-5}\times{10}^{-5} \times125}{{5}^{-7}\times {6}^{-5}} = {5}^{5}$

Step-by-step explanation:

$\frac{{3}^{-5}\times{10}^{-5} \times125}{{5}^{-7}\times {6}^{-5}} \\ =\frac{{(\frac{1}{3})}^{5}\times{(\frac{1}{10})}^{5} \times125}{{(\frac{1}{5})}^{7} \times {( \frac{1}{6} )}^{5} } \\ = \frac{ \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times 5 \times 5 \times 5}{ \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} \times \frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} } \\ = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 6 \times 6 \times 6 \times 6 \times 6 \\ = 5 \times 5 \times 5 \times 5 \times 5 \\ = {5}^{5}$