Multiplicative inverse of $10^{- 100}$ is:

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100

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$10^{100}$

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$10^{- 100}$

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Solution

The correct option is C
$10^{100}$

$10^{- 100} = \frac{1}{10^{100}} [∵ \frac{1}{a^{m}} = (a)^{- m}]$
Multiplicative inverse of $\frac{1}{x} (x \neq 0)$ is $x$ .
So, multiplicative inverse of $\frac{1}{10^{100}}$ is $10^{100}$ .
$[\frac{1}{10^{100}} \times 10^{100} = 1]$

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Question 8

In the following question, out of the four options, only one is correct. Write the correct answer:

The multiplicative inverse of $10^{100}$ is:
(a) 10
(b) 100
(c) $10^{100}$
(d) $10^{- 100}$

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Find the multiplicative inverse of $10^{- 10}$ .

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