# How to simplify (1.7 times 10^6) (3.7 times 10^3) in scientific notation?

Nov 6, 2015

$6 , 29 \cdot {10}^{9}$

#### Explanation:

Since you are only multiplying, you can split the equation into two parts; decimal numbers and tens.

You can therefore write the equation like this:
$\left(1 , 7 \cdot 3 , 7\right) \cdot \left({10}^{6} \cdot {10}^{3}\right)$
Calculate the product of the decimal numbers, and add up the exponents of the tens.

${10}^{6} \cdot {10}^{3} = {10}^{6 + 3} = {10}^{9}$