# How do you divide \frac { 0.8\times 10^ { - 7} } { 4\times 10^ { - 4} }?

Aug 31, 2017

$2 \cdot {10}^{-} 4$

#### Explanation:

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Aug 31, 2017

$2 \times {10}^{- 4}$

#### Explanation:

$\frac{\textcolor{red}{0.8 \times {10}^{- 7}}}{\textcolor{g r e e n}{4 \times {10}^{- 4}}}$

This is the same as $\textcolor{red}{\frac{0.8 \textcolor{g r e e n}{\times {10}^{4}}}{\textcolor{g r e e n}{4} \times {10}^{7}}}$

Which is also the same as $\frac{8 \times {10}^{3}}{4 \times {10}^{7}}$

This is the same as $2 \times {10}^{3 - 7} \text{ "=" } 2 \times {10}^{- 4}$