Simplify ((10^-2)/(10^3))^-1

${(\frac{10^{- 2}}{10^{3}})}^{- 1}$

Move $10^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(\frac{1}{10^{3} \cdot 10^{2}})}^{- 1}$

Multiply $10^{3}$ by $10^{2}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(\frac{1}{10^{3 + 2}})}^{- 1}$

Add $3$ and $2$ .

${(\frac{1}{10^{5}})}^{- 1}$

Raise $10$ to the power of $5$ .

${(\frac{1}{100000})}^{- 1}$

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

$100000$