Simplify 1/((5x)^(-3/4))

$\frac{1}{{(5 x)}^{- \frac{3}{4}}}$

Step 1

Move ${(5 x)}^{- \frac{3}{4}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 2

Apply the product rule to $5 x$ .

$5^{\frac{3}{4}} x^{\frac{3}{4}}$