# How do you calculate  (-5.475times10^7) div (3.65times10^2)?

May 31, 2017

(-5.475xx10^7)-:(3.65xx10^2)=color(blue)(-1.5xx10^5

#### Explanation:

Simplify.

Rewrite the expression as a fraction.

$\frac{- 5.475 \times {10}^{7}}{3.65 \times {10}^{2}}$

Divide the coefficients.

$- \frac{5.475}{3.65} = - 1.5$

Divide the exponents on the base $10$. Apply the quotient rule of exponents: ${a}^{m} / {a}^{n} = {a}^{m - n}$

${10}^{7} / {10}^{2} = {10}^{7 - 2} = {10}^{5}$

Put the coefficient and the base 10 with 5 exponent together.

$- 1.5 \times {10}^{5}$