How do you write the answer in scientific notation given ${(7.2 \times 10^{- 3})}^{3}$ $(7.2times10^-3)^3$ ?

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Answer 1 · 2017-03-28T19:37:11

${3.73248}^{- 7}$ $3.73248^("-"7)$

First apply the exponent to all terms
${7.2}^{3} \times {(10^{- 3})}^{3}$ $7.2^3xx(10^("-"3))^3$

Simplify
$373.248 \times 10^{- 9}$ $373.248xx10^("-"9)$

Write the number in scientific notation
$(3.73248 \times 10^{2}) \times 10^{- 9}$ $(3.73248xx10^2)xx10^("-"9)$

Combine the powers of $10$ $10$
$3.73248 \times 10^{2 - 9} = {3.73248}^{- 7}$ $3.73248xx10^(2-9)=3.73248^("-"7)$

How do you write the answer in scientific notation given (7.2times10^-3)^3(7.2×10−3)3(7.2times10^-3)^3?