# How do you simplify (6 times 10^8)(7 times 10^-12)?

##### 1 Answer
May 10, 2017

$= 4.2 \times {10}^{-} 3$

#### Explanation:

$\left(6 \times {10}^{8}\right) \left(7 \times {10}^{-} 12\right)$

The key to this problem is realizing that every term multiplies and order doesn't matter.
$= 6 \times 7 \times {10}^{8} \times {10}^{-} 12$
$= 42 \times {10}^{10 - 12}$ (exponent addition rule)
$= 42 \times {10}^{-} 2$
$= 4.2 \times {10}^{-} 3$