Simplify 10(10x^-1)^-1

$10 {(10 x^{- 1})}^{- 1}$

Step 1

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

$10 {(10 \frac{1}{x})}^{- 1}$

Step 2

Combine $10$ and $\frac{1}{x}$ .

$10 {(\frac{10}{x})}^{- 1}$

Step 3

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

$10 \frac{x}{10}$

Step 4

Cancel the common factor of $10$ .

Cancel the common factor.

$10 \frac{x}{10}$

Rewrite the expression.

$x$