The multiplicative inverse of 10-100 is(a) 10 (b) 100 (c) 10100 (d)

1.	The multiplicative inverse of 10-100 is(a) 10 (b) 100 (c) 10100 (d) 10-100
Answer» (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; ax 1/a = 1 Hence, the multiplicative inverse for 1/10¹⁰⁰ is 10¹⁰⁰ as, 1/10¹⁰⁰ x 10¹⁰⁰ = 1

The multiplicative inverse of 10-100 is(a) 10 (b) 100 (c) 10100 (d) 10-100

Answer»

(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;

ax 1/a = 1

Hence, the multiplicative inverse for 1/10¹⁰⁰ is 10¹⁰⁰

as, 1/10¹⁰⁰ x 10¹⁰⁰ = 1