# How to simplify (3.045times10^5) /( 6.853times10^3) in scientific notation?

Jan 21, 2016

$4.443 \cdot {10}^{1}$

#### Explanation:

The expression can be rewritten in two parts as $\left(\frac{3.045}{6.853}\right) \cdot \left({10}^{5} / {10}^{3}\right)$

$\left(\frac{3.045}{6.853}\right) \approx 0.4443$ which in scientific notation should be written as $4.443 \cdot {10}^{-} 1$

The expression then becomes $4.443 \cdot \left({10}^{-} 1 \cdot {10}^{5} / {10}^{3}\right)$

By the rules for exponents the powers of $10$ should be added/subtracted to give

$= 4.443 \cdot \left({10}^{5} / {10}^{4}\right) = 4.443 \cdot {10}^{1}$