# How do you write and simplify (1.5 times 10^6 N)(3.0times10^-8 m) in scientific notation?

Feb 17, 2017

$4.5 \times {10}^{- 2} N m$

#### Explanation:

$\left(1.5 \times {10}^{6} N\right) \left(3.0 \times {10}^{-} 8 m\right)$

= $\left(1.5 \times 3.0\right) \times \left({10}^{6} \times {10}^{- 8}\right) N m$

= $4.5 \times {10}^{6 + \left(- 8\right)} N m$

= $4.5 \times {10}^{- 2} N m$

When a number is written in scientific notation, it is written in the form $a \times {10}^{n}$, where $1 \le a < 10$, in other words $a$ is just in unit digits and decimals but no tens or higher and $n$ is an integer.

As $4.5 \times {10}^{- 2} N m$ is already in this form, this is the desired result.