Simplify (4x^-1)^-1

${(4 x^{- 1})}^{- 1}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

Combine $4$ and $\frac{1}{x}$ .

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

Step 3

Change the sign of the exponent by rewriting the base as its reciprocal.

$\frac{x}{4}$