Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
Question
The multiplicative inverse of $10^{10}$ is ___________.
✓
Answer
For multiplicative inverse, a is called the multiplicative inverse of $b,$ if $a \times b = 1$
Put $b = 10^{10}$
Then,
$a \times 10^{10}= 1$
$\Rightarrow\text{a}=\frac{1}{10}^{10}\ \Big[\because\frac{1}{\text{a}^\text{m}}=\text{a}^{-\text{m}}\Big]$
$\therefore\text{a}=10^{-10}$
Hence,
The multiplicative inverse of $10^{10}$ is $10^{-10}$.
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