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this was on the same website that the video was on, and it looked easy

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Product of Powers Rule

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.

Not sure what that means? Let's break it down.

Definition

The product of powers rule assists with simplifying exponents. Let's first define some terms as they relate to exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power.

In a multiplication problem involving exponents, if the bases are the same, the multiplication problem can be simplified by adding the exponents.

For example, look at this problem: m^3 * m^5 = ?

Because the base ( m) is the same, you can simplify the problem by adding the exponents: 3 + 5 = 8. Therefore, m^3 * m^5 = m^8.

Here is how this works:

Since the problem now asks us to multiply these two items together, we end up with the following: m^3 * m^5 = mmmmmmmm, which is equal to m^8 (or 8 m s multiplied together). Too bad they aren't M&Ms!

Examples

You can use the product of powers rule for simple or more complex multiplication problems. Let's apply it together.

Since the bases are the same, to solve this problem, we just add the exponents. Pause the video to try this before you see the answer onscreen.

Did you get f^2 * f^7 = f^9? Great! Let's do a more complicated problem.

Remember that you can only combine like terms. Those are the terms with the same bases. If it helps you to rearrange the problems so that terms with like bases are together, no problem. Just don't leave anything out. Since this is a multiplication problem, there is not as much to keep track of as there would be with addition or subtraction or even division.

Consider pausing the video to try this yourself before the answer is revealed for each step so you can check your progress.

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rule & property - video & lesson transcript | study.com

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Product Of Powers: Definition, Rule & Property - Video & Lesson Transcript | Study.com

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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. Not sure what that means? Let's break it down. The product of powers rule assists with simplifying exponents.

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it explained it to me well!

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Product of Powers Rule

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.

Not sure what that means? Let's break it down.

Definition

The product of powers rule assists with simplifying exponents. Let's first define some terms as they relate to exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent, or power.

In a multiplication problem involving exponents, if the bases are the same, the multiplication problem can be simplified by adding the exponents.

For example, look at this problem: m^3 * m^5 = ?

Because the base ( m) is the same, you can simplify the problem by adding the exponents: 3 + 5 = 8. Therefore, m^3 * m^5 = m^8.

Here is how this works:

Since the problem now asks us to multiply these two items together, we end up with the following: m^3 * m^5 = mmmmmmmm, which is equal to m^8 (or 8 m s multiplied together). Too bad they aren't M&Ms!

Examples

You can use the product of powers rule for simple or more complex multiplication problems. Let's apply it together.

Since the bases are the same, to solve this problem, we just add the exponents. Pause the video to try this before you see the answer onscreen.

Did you get f^2 * f^7 = f^9? Great! Let's do a more complicated problem.

Remember that you can only combine like terms. Those are the terms with the same bases. If it helps you to rearrange the problems so that terms with like bases are together, no problem. Just don't leave anything out. Since this is a multiplication problem, there is not as much to keep track of as there would be with addition or subtraction or even division.

Consider pausing the video to try this yourself before the answer is revealed for each step so you can check your progress.

# data[].attributes.attachment_link.keywords[]
rule & property - video & lesson transcript | study.com

# data[].attributes.attachment_link.title
Product Of Powers: Definition, Rule & Property - Video & Lesson Transcript | Study.com

# data[].attributes.attachment_link.description
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. Not sure what that means? Let's break it down. The product of powers rule assists with simplifying exponents.

# data[].attributes.body
it made it easier to understand