# How do you simplify ((3.2x 10^4) x ( 4.9 x 10^-4)) / (2.8 x 10^-7)?

##### 1 Answer
Mar 28, 2015

Group the coefficients and the exponents and process them separately:

$\frac{\left(3.2 \times {10}^{4}\right) \times \left(4.9 \times {10}^{- 4}\right)}{2.8 \times {10}^{- 7}}$

$= \frac{3.2 \times 4.9}{2.8} \times \frac{{10}^{4} \times {10}^{- 4}}{{10}^{- 7}}$

$= 5.6 \times \frac{{10}^{0}}{{10}^{- 7}}$

$= 5.6 \times {10}^{7}$