# How do you simplify (3.67 x 10^12) ÷ (2.1 x 10^5)?

Mar 30, 2015

Re-group and handle the coefficients and the exponents separately.

$\left(3.67 \times {10}^{12}\right) \div \left(2.1 \times {10}^{5}\right)$
can be rewritten as
$\frac{3.67}{2.1} \times \frac{{10}^{12}}{{10}^{5}}$

$\frac{3.67}{2.1} = 1.75$ (to 3 digit accuracy)

and

$\frac{{10}^{12}}{{10}^{5}} = {10}^{7}$

so
$\left(3.67 \times {10}^{12}\right) \div \left(2.1 \times {10}^{5}\right) = 1.75 \times {10}^{5}$