Question

The value of $\frac{{10}^{22}+{10}^{20}}{{10}^{20}}$ is ___.

• A. $10$
• B. $101$
• C. ${10}^2$
• D. ${10}^0$

Answer 1

The correct option is B $101$

$\text{We have}\frac{{10}^{22}+{10}^{20}}{{10}^{20}}.$
$=\frac{{10}^{22}}{{10}^{20}}+\frac{{10}^{20}}{{10}^{20}}$
$={10}^{(22-20)}+1(\because a^m÷a^n=a^{(m-n)})$
$={10}^2+1=100+1=101$