Question

by what number shoud ((-5/3) raise to power 3)raise to power -3be multiplied to obtain (-3/5)raise to power 4 ?

Answer 1

Hey friend, Harish here.

Here is your answer:

Let the number that must be multiplied be ' x '.

Then,

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

⇒  $(\frac{3}{5})^{9} \times x = (\frac{3}{5})^{4}$

⇒  $x = ( \frac{3}{5} )^{4} \times ( \frac{3}{5} )^{-9)$

⇒  $x = (\frac{3}{5})^{-5}$
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Hope my answer is helpful to you.