Question

By what number should (-12/15)raised to 3 be multiplied to get (4/5)raised to 4

Answer 1

Hi there!
Here's the answer:

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Let the required No. be x

$(\frac{-12}{3})^{15} × x = (\frac{4}{5})^{4}$

•°• $(-1)^{3} = -1$

=> $- (\frac{4 ×3}{3×5})^{3} × x = (\frac{4}{5})^{4}$

=> $- (\frac{4}{5})^{3} × x = (\frac{4}{5})^{4}$

=> $x = - (\frac{4}{5})^{4} × (\frac{5}{4})^{3}$

=> $x = -(\frac{4^{4}}{4^{3}}) × (\frac{5^{3}}{5^{4}})$

=> $x = - \frac{4}{5}$

•°• $\underline{The\: Required\: No.\: = - \frac{4}{5} }$

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Hope it helps

Answer 2

plzz refer the attachment

Any doubt you can ask me