# What is the power of a product rule for exponents?

## What is the power of a product rule for exponents?

The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.

## What is an example of a power of a product?

Example: Power of a Product With a Variable and Constant Simplify (8x)4. The base is a product of a constant and a variable. Raise each by the given exponent.

How do you find the power of a product rule?

To find a power of a product, find the power of each factor and then multiply. In general, (ab)m=am⋅bm. am⋅bm=(ab)m. In other words, you can keep the exponent the same and multiply the bases.

### What is a power to a power?

So, when you hear the phrase power to a power, it just means to raise one exponent to another. The rule is to multiply the exponents together. Let’s take a look at why this rule works. Think about what it means for something to be squared. If we square a number, that means we are multiplying that number by itself.

### When using the power rule Why do you multiply the exponents?

This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, keeping the base the same.

What is the product in exponents?

The Product of Powers Property states when we multiply two powers with the same base, we add the exponents.

#### What is a power product?

The product of powers rule tells us that when you are multiplying two terms that have the same base, you can just add their exponents to find your answer.

#### What is the power rule and example?

What Is the Power Rule? The power rule in calculus is a fairly simple rule that helps you find the derivative of a variable raised to a power, such as: x^5, 2x^8, 3x^(-3) or 5x^(1/2). All you do is take the exponent, multiply it by the coefficient (the number in front of the x), and decrease the exponent by 1.

What is meant by an exponent power explain with examples and rules?

Exponents mean that the number is multiplied by itself multiple times. x raised to y means that x is multiplied by itself y times. In this chapter, we will study about exponents and their laws.

## How do you use the power of a power rule?

The power of a power rule says if a power is being raised to another power, multiply the exponents and leave the base the same.

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