Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers1 Mark
MCQ
Value of $\frac{10^{22}+10^{20}}{10^{20}}$ is:
A
$10$
B
$10^{42}$
✓
$101$
D
$10^{22}$
✓
Answer
Correct option: C.
$101$
We can write the given expression as
$\frac{10^{22}}{10^{20}}+\frac{10^{20}}{10^{20}}=10^{22-20}+1$$\big[\because\frac{\text{a}^{\text{m}}}{\text{a}^{\text{n}}}=\text{a}^\text{m-n}\text{m}>\text{n}\big]$
$= 10^2 + 1$
$= 10 \times 10 + 1$
$= 100 + 1 = 101$
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