Question

$$\frac{ 2.18 \times { 10 }^{ 6 } }{ 3.3284 \times { 10 }^{ -10 } }$$

Answer

$$(2.18*10^16)/3.3284$$

Solution


Remove parentheses.
\[\frac{2.18\times {10}^{6}}{3.3284\times {10}^{-10}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[2.18\times {10}^{6+10}\times {3.3284}^{-1}\]
Simplify  \(6+10\)  to  \(16\).
\[2.18\times {10}^{16}\times {3.3284}^{-1}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[2.18\times {10}^{16}\times \frac{1}{3.3284}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{2.18\times {10}^{16}\times 1}{3.3284}\]
Simplify  \(2.18\times {10}^{16}\times 1\)  to  \((2.18)\times {10}^{16}\).
\[\frac{2.18\times {10}^{16}}{3.3284}\]