# How do you simplify (2.88times10^3)/(1.2times10^-5)?

Apr 15, 2017

$2.4 \times {10}^{8}$

#### Explanation:

We can 'split' the numerator/denominator into the product of separate parts as follows.

$\Rightarrow \frac{2.88 \times {10}^{3}}{1.2 \times {10}^{-} 5}$

$= \frac{2.88}{1.2} \times {10}^{3} / {10}^{-} 5$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{a}^{m} / {a}^{n} = {a}^{m - n}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$= 2.4 \times {10}^{\left(3 - \left(- 5\right)\right)} = 2.4 \times {10}^{8}$