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

a^{ −1} is a power.

The base of the power is a.

The exponent is −1.

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