# How do you write (1.68 times 10^-1) / (3 times 10^4) in standard form?

Oct 19, 2015

You can do this in two ways: First the standard forms and then the division, or the other way around. I prefer the second.

#### Explanation:

Rules of division: divide the numbers, subtract the 10-powers:

$= \frac{1.68}{3} \cdot {10}^{- 1 - 4} = 0.56 \cdot {10}^{-} 5$

Since the 10-power is negative, we move the decimal point 5 to the left:

$= 0.0000056$

The other way would be:
$\frac{0.168}{30000} =$ (same answer of course)