Question

multiplicative inverse of 7 -²​

Answer 1

Given:

multiplicative inverse of 7 -²​

$7^{-2} \times 7^{2}=7^{2-2}=1$

Hence, multiplicative inverse of 7 -² is 7 ²

Answer 2

Given number: $\[{7^{ - 2}}\]$.

To find: the multiplicative inverse.

Solution:

Know that the product of multiplicative inverse of any number by the number itself is always 1.

Assume that the multiplicative inverse of the given number is x.

$\[\begin{array}{l}{7^{ - 2}} \times x = 1\\ \Rightarrow \frac{1}{{{7^2}}} \times x = 1\\ \Rightarrow x = {7^2}\end{array}\]$

Hence, the multiplicative inverse of the given number is $7^{2}$.