Question

calculate. (7.5×10^9)(5×10^2) write your answer in scientific notation.

Explanation:

Step1: Multiply the non - power - of - 10 parts

$7.5\times5 = 37.5$

Step2: Multiply the power - of - 10 parts

$10^{9}\times10^{2}=10^{9 + 2}=10^{11}$ (using the rule $a^{m}\times a^{n}=a^{m + n}$)

Step3: Combine the results

$37.5\times10^{11}$

Step4: Convert to proper scientific notation

$37.5 = 3.75\times10^{1}$, so $37.5\times10^{11}=3.75\times10^{1}\times10^{11}=3.75\times10^{12}$

Answer:

$3.75\times10^{12}$