Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\begin{aligned}&9\times {10}^{9}\\&\frac{\frac{1}{{10}^{9}}\times {10}^{-8}}{{0.2}^{2}}\end{aligned}\]
Simplify \({10}^{9}\) to \(1000000000\).
\[\begin{aligned}&9\times 1000000000\\&\frac{\frac{1}{1000000000}\times {10}^{-8}}{{0.2}^{2}}\end{aligned}\]
Simplify \(\frac{1}{1000000000}\times {10}^{-8}\) to \(\frac{{10}^{-8}}{1000000000}\).
\[\begin{aligned}&9\times 1000000000\\&\frac{\frac{{10}^{-8}}{1000000000}}{{0.2}^{2}}\end{aligned}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\begin{aligned}&9\times 1000000000\\&\frac{\frac{\frac{1}{{10}^{8}}}{1000000000}}{{0.2}^{2}}\end{aligned}\]
Simplify \({10}^{8}\) to \(100000000\).
\[\begin{aligned}&9\times 1000000000\\&\frac{\frac{\frac{1}{100000000}}{1000000000}}{{0.2}^{2}}\end{aligned}\]
Simplify \(\frac{\frac{1}{100000000}}{1000000000}\) to \(\frac{1}{100000000\times 1000000000}\).
\[\begin{aligned}&9\times 1000000000\\&\frac{\frac{1}{100000000\times 1000000000}}{{0.2}^{2}}\end{aligned}\]
Simplify \(100000000\times 1000000000\) to \(1\times {10}^{17}\).
\[\begin{aligned}&9\times 1000000000\\&\frac{\frac{1}{1\times {10}^{17}}}{{0.2}^{2}}\end{aligned}\]
Simplify \(1\times {10}^{17}\) to \({10}^{17}\).
\[\begin{aligned}&9\times 1000000000\\&\frac{\frac{1}{{10}^{17}}}{{0.2}^{2}}\end{aligned}\]
Simplify \({0.2}^{2}\) to \(0.04\).
\[\begin{aligned}&9\times 1000000000\\&\frac{\frac{1}{{10}^{17}}}{0.04}\end{aligned}\]
9*1000000000;(1/10^17)/0.04
