Multiply Exponents Game
To multiply exponents, when the bases are the same, you add the exponents. For example, x^a × x^b = x^(a+b) Scroll down the page for a more detailed explanation.
 
This game focuses on the rules for multiplying 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.
 

Multiplying 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 Multiply Exponents Game
The game will challenge you to multiply two exponents that have the same base by using the “product rule” for exponents: x^a × x^b = x^(a+b)
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 two exponents with the same base. Multiply them.
   
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 Multiply Exponents
To multiply exponents, when the bases are the same, you add the exponents.
Multiply Exponents
Multiplying Exponents with the Same Base
This is the most common rule, often called the “product rule” for exponents.
Rule: a^m × aⁿ = a^(m+n)
How it works: When you multiply exponential expressions with the same base, you are essentially multiplying the same number by itself multiple times. The total number of times you multiply is the sum of the individual exponents.
Example: 3² × 3⁵
Write out the terms: (3 × 3) × (3 × 3 × 3 × 3 × 3)
Count the total number of ‘3’s: 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3⁷
Add the exponents: 2 + 5 = 7
Result: 3⁷
 

The video gives a clear, step-by-step approach to multiply exponents with the same base.

• 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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