Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
The multiplicative inverse of $10^{-100}$ is:
A
$10$
B
$100$
✓
$10^{100}$
D
$10^{-100}$
✓
Answer
Correct option: C.
$10^{100}$
C. $10^{100}$ Solution:
For multiplicative inverse, let a be the multiplicative inverse of $10^{-100}.$
so, $a \times b = 1$
$\therefore$ $a \times 10^{100} = 1$
$\Rightarrow\text{a}=\frac{1}{10^{-100}}\times\frac{1}{\frac{1}{10^{100}}}\ \Big[\because\text{a}^{-\text{m}}=\frac{1}{\text{a}^\text{m}}\Big]$
$=10^{100}$
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