Question

The multiplicative inverse of am is
(a) a
(b) m
(c) am
(d) a^-m
plz give the correct ans
​

Answer 1

Given :    $a^m$

To Find : The multiplicative inverse of am is

(a) a

(b) m

(c) am

(d) a^-m     $a^{-m}$

 

​Solution:

Multiplicative inverse of any non zero number  is reciprocal of the number

1/a is the multiplicative inverse of a

as a  * 1/a  =  1

where a ≠ 0

Let say  x is  the multiplicative inverse of  $a^m$

$\implies x \times a^{m}=1$

$\implies x = \frac{1}{a^{m}}$

$\implies x = a^{-m}$

the multiplicative inverse of  $a^m$ is  $a^{-m}$

Hence Correct option is  d) $a^{-m}$

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Answer 2

(c) am

Step-by-step explanation:

The Multiplicative inverse of am is 1/am By considering a and m as constants, then 1/a and I/m must be constants (i.e. a and m). since am is Positive then the multiplicative Inverse must be positive. By this .: the Inverse of am m' which is constant.