# How to simplify (3.9times10^8)(8.4times10^-3) in scientific notation?

Feb 7, 2016

$3.276 \times {10}^{6}$

#### Explanation:

Given:$\text{ } \left(3.9 \times {10}^{8}\right) \left(8.4 \times {10}^{- 3}\right)$

Write as $\text{ } \left(3.9 \times 8.4\right) \times {10}^{8 - 3}$

Which simplifies to:$\text{ } 32.76 \times {10}^{5}$

color(brown)("But "32.76" is the same value as " 3.276xx10

So by substitution we have: ""3.276xx10xx10^5

which is: $\text{ } 3.276 \times {10}^{6}$