## How to Find the Power of a Product in Algebra

Finding a power of a product in algebra is easy.## Question

Use the law of exponents to find the power of the product below.## Step-by-Step:

## 1

Find the exponent. In our example, the exponent is

**2**.## 2

Find the first letter in the product. In our example, the first letter is

**x**.## 3

Raise the letter found in

**Step 2**(x) to the exponent found in**Step 1**(2). This becomes the first part of the answer.## 4

Find the second letter in the product. In our example, the second letter is

**y**.## 5

Raise the letter found in

**Step 4**(y) to the exponent found in**Step 1**(2). This becomes the second part of the answer.## Answer:

We have found the power of the product.## Understanding Powers of a Product in Algebra

- The
**power**is**(ab)**.^{n} - The
**base**is the product**ab**. It is a product because it has factors (**a**and**b**) multiplied together. (See**Note**:*What Is a Factor in Algebra?*).ab = a × b - The
**exponent**is**n**. **a**is a product of the powers^{n}b^{n}**a**and^{n}**b**.^{n}a^{n}b^{n}= a^{n}× b^{n}

## More Examples of Finding the Power of a Product in Algebra

Products in algebra do not just consist of single letters multiplying each other.- When a factor is a number, we can find the power:
- When a factor is a term, we can find the power. Notice that the whole term is raised to the exponent:
- When a factor is an expression, we can find the power. Notice that the whole expression is raised to the exponent:

## What Is a Factor in Algebra?

A factor is one of the numbers, letters and brackets that are multipled together to make a product.## You might also like...

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