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 1a.

a to the minus 1 is equal to 1 over 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.

x to the minus 1

Step-by-Step:

1

Find the letter or symbol that has an exponent of −1. In our example, the letter is x.

x

2

Write 1 on the top of a fraction (called the numerator).

1 over the line

3

Write the letter from Step 1 (x) on the bottom of the fraction (called the denominator).

1 over x

Answer:

We have found an exponent of −1.

x to the minus 1 equals 1 over x

Understanding Finding an Exponent of −1 in Algebra

Let us look at the rule for an exponent of −1 in algebra:

bases and exponents

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See Also

What is algebra? The laws of exponents What is a power? What is a base? What is an exponent? What is a reciprocal?