Question

What needs to be multiplied to (5/3)^-5 to get (3/5)^2?

Answer 1

Answer:

Multiply with

${ (\frac{5}{3}) }^{3}$

Step-by-step explanation:

${ (\frac{5}{3} )}^{ - 5} \times x = { (\frac{3}{5}) }^{2}$

$x = { (\frac{3}{5}) }^{2} \div { (\frac{5}{3} )}^{ - 5}$

$x = { (\frac{3}{5} )}^{2} \times {( \frac{3}{5} )}^{ - 5}$

$x = { (\frac{3}{5} )}^{2 - 5}$

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

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

$x = \frac{125}{27}$