Question

find the multiplicative inverse of x power -n​

Answer 1

Answer:

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.

Answer 2

Given,

The expression:

${x}^{ - n}$

To find,

The multiplicative inverse of the given expression.

Solution,

We can easily solve this problem by following the given steps.

According to the question,

We have the following expression:

${x}^{ - n}$

We know that we get the multiplicative inverse by reversing the number or fraction.

(The multiplication of a number and its multiplicative inverse is always 1.)

In this case, the given expression can be written as $\frac{1}{ {x}^{n} }$

So, the multiplicative inverse of the given expression is ${x}^{n}$

Hence, the multiplicative inverse of ${x}^{ - n}$ is ${x}^{n}$.