The multiplicative inverse

Question:

The multiplicative inverse of 10-100 is

(a) 10

(b) 100

(c) 10100 

(d) 10-100

Solution:

(c) 10100

Explanation: By the law of exponent we know: a-n = 1/an.

So, 10-100 = 1/10100

The multiplicative inverse for any integer a is 1/a, such that;

a x 1/a = 1

Hence, the multiplicative inverse for 1/10100 is 10100

as, 1/10100 x 10100 = 1

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