# How do you divide (3.5 X 10^2) /(2.5 X 10^-3)?

Mar 28, 2015

Separate and do the division of the coefficients and the exponents individually before re-combining

$\frac{3.5 \times {10}^{2}}{2.5 \times {10}^{- 3}} = \frac{3.5}{2.5} \times {10}^{2} / {10}^{- 3}$

$\frac{3.5}{2.5} = 1.4$

${10}^{2} / {10}^{- 3} = {10}^{2} \times {10}^{3} = {10}^{5}$

So
$\frac{3.5 \times {10}^{2}}{2.5 \times {10}^{- 3}} = 1.4 \times {10}^{5}$