Remove parentheses.
\[\frac{{10}^{9}\times {10}^{-7}}{{10}^{-3}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{{10}^{2}}{{10}^{-3}}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{{10}^{2}}{\frac{1}{{10}^{3}}}\]
Simplify \({10}^{3}\) to \(1000\).
\[\frac{{10}^{2}}{\frac{1}{1000}}\]
Simplify \({10}^{2}\) to \(100\).
\[\frac{100}{\frac{1}{1000}}\]
Invert and multiply.
\[100\times 1000\]
Simplify.
\[100000\]
100000
