## How to Multiply Powers

Multiplying powers is easy.## Question

Use the law of exponents to multiply the powers below.## Step-by-Step:

## 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
**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.## Answer:

We have multiplied the powers together.## Understanding Multiplying Powers

Let us look at the rule for multiplying powers:- We are multiplying
**powers**.**2**,^{m}**2**and^{n}**2**are powers.^{m + n} - The
**base**in each power is**2**. 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.

## Why Does It Work?

Consider the example below. Each term is given by: s Multiplying the two together gives: This shows why the formula given works.## Beware

## The Bases Must Be The Same

The law of exponents discussed here only works when the bases are the same. The multiplication below cannot be simplified, and must be left as it is:## You might also like...

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