Simplify \(44\times 4\) to \(176\).
\[\frac{176\times {10}^{46}}{{(3\times 84\times {10}^{5})}^{2}}\]
Simplify \(3\times 84\) to \(252\).
\[\frac{176\times {10}^{46}}{{(252\times {10}^{5})}^{2}}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{176\times {10}^{46}}{{252}^{2}{({10}^{5})}^{2}}\]
Simplify \({252}^{2}\) to \(63504\).
\[\frac{176\times {10}^{46}}{63504{({10}^{5})}^{2}}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{176\times {10}^{46}}{63504\times {10}^{10}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[176\times {10}^{46-10}\times {63504}^{-1}\]
Simplify \(46-10\) to \(36\).
\[176\times {10}^{36}\times {63504}^{-1}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[176\times {10}^{36}\times \frac{1}{63504}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{176\times {10}^{36}\times 1}{63504}\]
Simplify \(176\times {10}^{36}\times 1\) to \(176\times {10}^{36}\).
\[\frac{176\times {10}^{36}}{63504}\]
(176*10^36)/63504
