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Question
The multiplicative inverse of 10–100 is ______.
Options
10
100
10100
10–100
Solution
The multiplicative inverse of 10–100 is 10100.
Explanation:
For multiplicative inverse, let a be the multiplicative inverse of 10–100.
So, a × b = 1
∴ a × 10–100 = 1
⇒ `a = 1/10^-100 xx 1/(1/10^100)` ...`[∵ a^-m = 1/a^m]`
= 10100
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