How do you simplify 3times10^8 div 9.0times10^14?

Mar 5, 2016

$0.33 \cdot {10}^{22}$

Explanation:

According to arithmetic calculation the division to be made before multiplication
$\cancel{3} \cdot {10}^{8} / {\cancel{9}}^{3} \cdot {10}^{14} = \frac{1}{3} \cdot {10}^{22} = 0.33 \cdot {10}^{22}$

Mar 5, 2016

$\frac{a {c}^{m}}{b {c}^{n}} = \left(\frac{a}{b}\right) {c}^{m - n}$
${k}^{-} n = {\left(\frac{1}{k}\right)}^{n}$
Answer: $\left(\frac{3}{9}\right) {10}^{- 6}$ = $3 X {10}^{6}$