Remove parentheses.
\[\frac{4}{3}\times 3.14{(3\times {10}^{-8})}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{4}{3}\times 3.14\times {3}^{2}{({10}^{-8})}^{2}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{4}{3}\times 3.14\times {3}^{2}{(\frac{1}{{10}^{8}})}^{2}\]
Simplify \({10}^{8}\) to \(100000000\).
\[\frac{4}{3}\times 3.14\times {3}^{2}{(\frac{1}{100000000})}^{2}\]
Simplify \({3}^{2}\) to \(9\).
\[\frac{4}{3}\times 3.14\times 9{(\frac{1}{100000000})}^{2}\]
Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{4}{3}\times 3.14\times 9\times \frac{1}{{100000000}^{2}}\]
Simplify \({100000000}^{2}\) to \(1\times {10}^{16}\).
\[\frac{4}{3}\times 3.14\times 9\times \frac{1}{1\times {10}^{16}}\]
Simplify \(1\times {10}^{16}\) to \({10}^{16}\).
\[\frac{4}{3}\times 3.14\times 9\times \frac{1}{{10}^{16}}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{4\times 3.14\times 9\times 1}{3\times {10}^{16}}\]
Simplify \(4\times 3.14\) to \(12.56\).
\[\frac{12.56\times 9\times 1}{3\times {10}^{16}}\]
Simplify \(12.56\times 9\) to \(113.04\).
\[\frac{113.04\times 1}{3\times {10}^{16}}\]
Simplify \(113.04\times 1\) to \(113.04\).
\[\frac{113.04}{3\times {10}^{16}}\]
113.04/(3*10^16)
