Simplify 1/((5x)^(-3/2))

$\frac{1}{{(5 x)}^{- \frac{3}{2}}}$

Move ${(5 x)}^{- \frac{3}{2}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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