Question

By what number should ${\left[\left(\frac{-5}{2}\right)\right]}^3$ be multiplied to get ${\left(\frac{-2}{5}\right)}^5$?

Answer 1

Let number be $x$

So, ${\left(\frac{-5}{2}\right)}^{3}x={\left(\frac{-2}{5}\right)}^5$

$x={\left(\frac{-2}{5}\right)}^8={\left(\frac{2}{5}\right)}^8$