How to Find an Exponent of −1
Finding an Exponent of −1
A number with an exponent of 1 is equal to the reciprocal of the number (1 divided by the number).
Imagine we have the number 2 with an exponent of 1. This is equal to ^{1}⁄_{2}.
This is a law of exponents.
How to Find an Exponent of −1
Finding an exponent of −1 is easy.
Question
Use the law of exponents to find the power with an exponent of −1 below.
StepbyStep:
1
Find the number that has an exponent of −1. In our example, the number is 3.
3
Write the letter from Step 1 (3) on the bottom of the fraction (called the denominator).
Answer:
We have found an exponent of −1.
Understanding Finding an Exponent of −1
Let us look at the rule for an exponent of −1:

2^{ −1} is a power.

The base of the power is 2.

The exponent is −1.

The fraction ^{1}⁄_{2} is the reciprocal of 2.