# How to simplify (2times10^-4) (3times10^2) in scientific notation?

Nov 9, 2015

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

$= \left(2\right) \left(3\right) \times {10}^{-} 4. {10}^{2}$

$= 6 \times {10}^{-} 2$

#### Explanation:

To multiply $2$ scientific notations, multiply the $2$ initial numbers which are $2$ and $3$ and add the two exponents of the bases observing its signs (+/-).

The sign of the bigger number will be the exponent's sign to be used in the final answer.