How to Divide Powers in Algebra
Dividing Powers
To divide powers, subtract the exponents from each other.
This is a law of exponents.
How to Divide Powers
Dividing powers in is easy.
Question
Use the law of exponents to divide the powers below.
StepbyStep:
1
Check that the bases of the powers are the same. In our example, the bases are both 2.
2
Find the exponents of the powers

Find the exponent of the first power. In our example, the first power has an exponent of 5.

Find the exponent of the second power. In our example, the second power has an exponent of 3.
3
Subtract the exponents from Step 2 (5 and 3) from each other.
5 − 3 = 2
4
Make the answer from Step 3 (2) the exponent of the base of the powers that have been divided.
Answer:
We have divided the powers from each other.
Understanding Dividing Powers
Let us look at the rule for dividing powers:
Dividing Powers As a Fraction
A division can be written as a fraction.