How do you multiply $(5 \times 10^{2}) (7 \times 10^{5})$ $(5×10^2)(7×10^5)$ ?

Question

14761 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-30T17:07:57

$35 \times 10^{7}$ $35xx10^7$

Or if you're using scientific notation:

$3.5 \times 10^{8}$ $3.5xx10^8$

Multiply the number factors:
$5 \times 7 = 35$ $5xx7=35$

Multiply the powers by adding the indices
$10^{2} \times 10^{5} = 10^{2 + 5} = 10^{7}$ $10^2xx10^5=10^(2+5)=10^7$

$= 35 \times 10^{7}$ $=35xx10^7$

Or if you are using scientific notation:
$3.5 \times 10^{8}$ $3.5xx10^8$

How do you multiply (5×102)(7×105)(5×10^2)(7×10^5)?