# How do you write the answer in scientific notation given (7.2times10^-3)^3?

Mar 28, 2017

${3.73248}^{\text{-} 7}$

#### Explanation:

First apply the exponent to all terms
${7.2}^{3} \times {\left({10}^{\text{-} 3}\right)}^{3}$

Simplify
$373.248 \times {10}^{\text{-} 9}$

Write the number in scientific notation
$\left(3.73248 \times {10}^{2}\right) \times {10}^{\text{-} 9}$

Combine the powers of $10$
$3.73248 \times {10}^{2 - 9} = {3.73248}^{\text{-} 7}$