# How to Multiply Powers in Algebra

## Multiplying Powers in Algebra

Powers can be multiplied together.

To multiply powers, add the exponents together. This is a law of exponents.

## How to Multiply Powers in Algebra

Multiplying powers in algebra is easy.

### Question

Use the law of exponents to multiply the powers below. # 1

Check that the bases of the powers are the same. In our example, the bases are both x. # 2

Find the exponents of the powers

• Find the exponent of the first power. In our example, the first power has an exponent of 2. • Find the exponent of the second power. In our example, the second power has an exponent of 3. # 3

Add the exponents from Step 2 (2 and 3).

2 + 3 = 5

# 4

Make the answer from Step 3 (5) the exponent of the base of the powers that have been multiplied. We have multiplied the powers together. ## Understanding Multiplying Powers in Algebra

Let us look at the rule for multiplying powers in algebra: • We are multiplying powers. am, an and am + n are powers.

• The base in each power is a. This law of exponents only applies when the bases are the same.

• The exponents in each power are m, n and m + n. This law of exponents applies even when the exponents are different.

## Slider

The slider below shows another real example of how to multiply powers in algebra.

Open the slider in a new tab