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Question
The multiplicative inverse of 1010 is ______.
Solution
The multiplicative inverse of 1010 is 10–10.
Explanation:
For multiplicative inverse, a is called the multiplicative inverse of b, if a × b = 1.
Put b = 1010
Then, a × 1010 = 1
⇒ `a = 1/10^10` ...`[∵ 1/a^m = a^-m]`
∴ a = 10–10
Hence, the multiplicative inverse of 1010 is 10–10
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