How to Find Negative Exponents in Algebra
Finding Negative Exponents in Algebra
A power with a negative exponent is equal to the reciprocal of the power (1 over the power) with the exponent made positive.
Imagine we have the letter a with an exponent of −n. We put the whole power under 1 and remove the minus sign from the exponent. This is equal to ^{1}⁄_{an}.
This is a laws of exponents.
How to Find Negative Exponents in Algebra
Question
Use the law of exponents to find the power with the negative exponent below.
StepbyStep:
2
Write the power from the question on the bottom of the fraction (called the denominator).
3
Remove the minus sign from the exponent. In our example, the exponent of −2 becomes 2.
Answer:
We have found the negative exponent.
Understanding Finding a Negative Exponent in Algebra
Let us look at the rule for negative exponents in algebra:

a^{−n} and a^{n} are powers.

The bases of the powers are a.

The exponent of a^{−n} is −n and the exponent of a^{n} is n.

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