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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