# How do you simplify 5.0 times 10^-3 L?

Feb 22, 2016

You can work this out to be $0.0050 L$, because
${10}^{-} 3 = \frac{1}{10} ^ 3 = \frac{1}{1000}$

#### Explanation:

But most of the time we use prefixes in stead of the $10$-powers or numbers with a lot of zeroes in front (or behind).

The prefix for ${10}^{-} 3$ or $1 / 1000$th is milli (abbreviated as m)

So:
$5.0 \cdot {10}^{-} 3 L = 5.0 m L$