# How do you simplify (4 times 10^3)(7 times 10^2)?

Sep 17, 2016

$2.8 \times {10}^{6} \leftarrow \text{ Scientific notation}$

#### Explanation:

$\left(4 \times 7\right) \times {10}^{3} \times {10}^{2}$

$28 \times {10}^{3 + 2} \text{ "->" } 28 \times {10}^{5}$

$2.8 \times {10}^{6} \leftarrow \text{ Scientific notation}$
,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b r o w n}{\text{You can interchange the numbers as they are 'commutative'}}$

Example: $2 \times 5$ is the same as $5 \times 2$