# How do you simplify (2.5 times 10 ^-5) / (5 times10^4) in scientific notation?

Mar 21, 2018

$5 \times {10}^{-} 8$

#### Explanation:

Change the form of the numerator to the equivalent $25 \times {10}^{-} 6$. Then we have

$\frac{25 \times {10}^{-} 6}{5 \times {10}^{4}} = \frac{25}{5} \times {10}^{- 6 - 4} = 5 \times {10}^{-} 10$

I hope this helps,
Steve