Simplify 3(3x^-1)^-1

$3 {(3 x^{- 1})}^{- 1}$

Step 1

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

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

Step 2

Combine $3$ and $\frac{1}{x}$ .

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

Step 3

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

$3 \frac{x}{3}$

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{x}{3}$

Rewrite the expression.

$x$