Zero & Fractional Exponents Game
The Zero Exponent Rule states that any non-zero number raised to the power of zero is always equal to 1. A fractional exponent means you need to find a root of the base number.The denominator of the fraction tells you which root to take (like a square root or cube root). The numerator of the fraction tells you which power to raise the number to. Scroll down the page for a more detailed explanation.
 
This game focuses on the zero exponent rule and the fractional exponent rule. You will need to evaluate the expressions with either zero exponent or fractional exponents. If you make a mistake, the game will show you the correct answer.
 

Fractional & Zero Exponents

Evaluate the expression.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Evaluate:

Check Next

Back to Menu

 

How to Play the Zero & Fractional Exponents Game
The game will challenge you to rewrite the given expressions using only positive exponents.
Here’s how to play:

1. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
2. Look at the Problem: You’ll be given an expression with a zero exponent or a fractional exponent. Evaluate the expression.
   
3. Enter Your Answer: Enter in the result.
   
4. 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.
   
5. 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.
   
6. Back to Menu Click “Back to Menu” to restart the game.
    
   

The Zero Exponent Rule
The Zero Exponent Rule states that any non-zero number raised to the power of zero is always equal to 1.
x⁰ = 1(where x ≠ 0)
For example:
5⁰ = 1
123⁰ = 1
(−7)⁰ = 1
(1/2)⁰ = 1
The only exception is 0⁰, which is considered undefined in mathematics.
 

The Fractional Exponent Rule
Fractional Exponents
This rule connects exponents and roots. A fractional exponent means you need to find a root of the base number.
The denominator of the fraction tells you which root to take (like a square root or cube root). The numerator of the fraction tells you which power to raise the number to.
The general formula is:
\(x^{a/b} = \sqrt[b]{x^a}\)
 

This video gives a clear, step-by-step approach to use the fractional exponents rule.

• 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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