# How do you divide (7.5\times 10^ { 5} ) / ( 2.5\times 10^3)?

Dec 7, 2016

$300$

#### Explanation:

This can be changed to:

$\left(\frac{7.5}{2.5}\right) \times \left({10}^{5} / {10}^{3}\right)$

The rule for dividing common terms with exponents is:

$\textcolor{red}{{x}^{a} / {x}^{b} = {x}^{a - b}}$

We can now change our problem to:

$3 \times {10}^{5 - 3} \to 3 \times {10}^{2} \to 3 \times 100 \to 300$