Question

The value of $\frac{\left({100}^{12}\right)\left({10}^4\right)}{{10}^2}$ is:

• A. ${10}^8$
• B. ${10}^{14}$
• C. ${10}^{24}$
• D. ${10}^{26}$
• E. ${10}^{48}$

Answer 1

The correct option is D ${10}^{26}$

The value of $\frac{(100{)}^{12}{10}^4}{{10}^2}$

$=\frac{{10}^{24}{10}^4}{{10}^2}$

$=\frac{{10}^{28}}{{10}^2}$ .... (Using $a^m\times a^n=a^{m+n}$)

$={10}^{26}$ .... (Using $\frac{a^m}{a^n}=a^{m-n}$)