Power of Exponents Game
When you have an exponent raised to another exponent, you multiply the exponents together. This is also called the Power of Power Rule. Scroll down the page for a more detailed explanation.
 
This game focuses on the rule for a power of exponents. 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 Exponents

Simplify the expression.

Exponent Type:

Positive Only

Include Negatives

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Simplify:

Answer:

x

Check Next

Back to Menu

 

How to Play the Power of Exponents Game
The game will challenge you to find the power of an exponent using the “power of a power rule” for exponents: (x^a)^b = x^(ab)
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 an exponent 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 Exponents
Power of a power rule: If an expression of a base raised to a power is being raised to another power, multiply the exponents and keep the base the same.
Power of a Power Rule
The general formula is:
(x^a)^b = x^(ab)
 
Why the Rule Works
Consider the expression (x²)³.
The base is x².
The outer exponent is ³. This means you are multiplying x² by itself three times:
(x²)(x²)(x²)
Now, if we expand each x², we get:
(x⋅x)(x⋅x)(x⋅x)
This is simply x multiplied by itself six times, which is x⁶.
x⋅x⋅x⋅x⋅x⋅x=x⁶
 

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

• Show Video

 

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

 

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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