Math, asked by manyajain1408, 2 months ago

Simplify above question.Pls answer fast​

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Answers

Answered by vipashyana1
0

Answer:

\frac{ {3}^{ - 5} \times {10}^{ - 5} \times 125 }{ {5}^{ - 7} \times {6}^{ - 5} } = {5}^{5}

Step-by-step explanation:

</p><p></p><p>\begin{gathered} \frac{ {3}^{ - 5} \times {10}^{ - 5} \times 125 }{ {5}^{ - 7} \times {6}^{ - 5} } \\ = \frac{ { (\frac{1}{3} )}^{5} \times { (\frac{1}{10}) }^{5} \times 5 \times 5 \times 5}{ { (\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} \end{gathered} </p><p></p><p> </p><p>

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