Find the Exact Value (0.1)^-2

${(0.1)}^{- 2}$

Step 1

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

$\frac{1}{{0.1}^{2}}$

Step 2

Raise $0.1$ to the power of $2$ .

$\frac{1}{0.01}$

Step 3

Divide $1$ by $0.01$ .

$100$