Power of a Product Game
Finding the power of a product is a rule that builds on the Power of a Power Rule. The main idea is that when you have a product (two or more terms being multiplied) inside parentheses, and that product is raised to an exponent, you apply the exponent to each factor within the parentheses. Scroll down the page for a more detailed explanation.
 
This game focuses on the rule for the power of a product. It will have a start screen where you can choose between problems with only positive exponents or a mix that includes negative exponents. If you make a mistake, the game will show you the correct answer.
 

Power of a Product

Simplify the expression.

Exponent Type:

Positive Only

Include Negatives

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Simplify:

Answer:

y

Check Next

Back to Menu

 

How to Play the Power of a Product Game
The game will challenge you to find the power of a product: (xy)^a = x^ay^a
Here’s how to play:

1. Select the Exponent Type: Choose between problems with only positive exponents or a mix that includes negative exponents.
   
2. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
3. Look at the Problem: You’ll be given a product raised to a power. Simplify it.
   
4. Enter Your Answer: Enter in the exponent for the result. Remember to enter the negative symbol for negative numbers.
   
5. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
6. Get a New Problem: Click the Next button for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
7. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to find the Power of a Product
The power of a product rule states that when raising a product to a power, you can raise each factor to that power and then multiply the results. The key is to remember to apply the outer exponent to every single factor inside the parentheses.
Power of a Product Rule
The general formula is:
(xy)^a = x^ay^a
Example with Positive Exponents
Let’s simplify the expression:
(2x)⁴

1. Identify the factors inside the parentheses: 2 and x.
   
2. Apply the outer exponent, 4, to each factor.
   2⁴x⁴
   
3. Simplify the numerical part.
   2⁴=2⋅2⋅2⋅2=16
   
4. Combine the results to get the final answer.
   16x⁴
    
   

This video gives a clear, step-by-step approach to find the power of a product.

• Show Video

 

Free Exponent Games Online
Multiply Exponents	Divide Exponents	Power of a Power
Power of a Product	Negative Exponents	Fractional Exponents

 

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