# How do you simplify (5 times 10^8) /( 2 times 10^15)?

Aug 2, 2016

$\frac{5 \times {10}^{8}}{2 \times {10}^{15}} = 2.5 \times {10}^{- 7}$

#### Explanation:

$\frac{5 \times {10}^{8}}{2 \times {10}^{15}}$

= $\frac{5}{2} \times {10}^{8} / {10}^{15}$

Now using ${a}^{m} / {a}^{n} = {a}^{m - n}$, above can be reduced to

= $\frac{5}{2} \times {10}^{8 - 15}$

= $2.5 \times {10}^{- 7}$