Simplify \(6.67\times 6\) to \(40.02\).
\[\frac{(40.02\times 2)\times {10}^{-11}\times {10}^{54}}{(1.5\times 1.5)\times {10}^{22}}\]
Simplify \(40.02\times 2\) to \(80.04\).
\[\frac{80.04\times {10}^{-11}\times {10}^{54}}{(1.5\times 1.5)\times {10}^{22}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{80.04\times {10}^{43}}{(1.5\times 1.5)\times {10}^{22}}\]
Simplify \(1.5\times 1.5\) to \(2.25\).
\[\frac{80.04\times {10}^{43}}{2.25\times {10}^{22}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[80.04\times {10}^{43-22}\times {2.25}^{-1}\]
Simplify \(43-22\) to \(21\).
\[80.04\times {10}^{21}\times {2.25}^{-1}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[80.04\times {10}^{21}\times \frac{1}{2.25}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{80.04\times {10}^{21}\times 1}{2.25}\]
Simplify \(80.04\times {10}^{21}\times 1\) to \((80.04)\times {10}^{21}\).
\[\frac{80.04\times {10}^{21}}{2.25}\]
(80.04*10^21)/2.25
