How do you multiply (5×10^2)(7×10^5)?

Mar 30, 2018

$35 \times {10}^{7}$

Or if you're using scientific notation:

$3.5 \times {10}^{8}$

Explanation:

Multiply the number factors:
$5 \times 7 = 35$

Multiply the powers by adding the indices
${10}^{2} \times {10}^{5} = {10}^{2 + 5} = {10}^{7}$

$= 35 \times {10}^{7}$

Or if you are using scientific notation:
$3.5 \times {10}^{8}$