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An exponent is a mathematical shorthand for repeated multiplication. It tells you how many times to multiply a number by itself. Think of it as a “shortcut” for writing out long strings of the same number. Instead of writing 5 × 5 × 5 × 5, we write 54.
Welcome to the Online Exponent Games, your interactive roadmap to conquering the world of powers. Whether you are just starting to learn exponents or you’re ready to tackle complex fractional radicals, our multi-phase journey breaks down the laws of mathematics into playable, bite-sized challenges.

| 1. Foundations & Numerical Exponents |
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| Core concepts of repeated multiplication, zero/positive powers, and numerical expressions. |
| · Exponents & Repeated Multiplication |
| · Positive Exponents |
| · Zero & Positive Exponents |
| · Evaluate Numerical Expressions involving Exponents |
| Learn the secret shortcut to shifting decimal places just by counting zeros. |
| · Powers of Ten (Decimal Shifting) |
| · Powers with decimal or fractional bases |
| 2. Laws of Exponents |
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| Add exponents when multiplying like bases: |
| am · an = am+n |
| · Product of Powers Rule |
| Subtract exponents when dividing like bases: |
| \(\frac{a^m}{a^n} = a^{m-n}\) |
| · Quotient of Powers Rule |
| Multiply exponents when raising a power to another power: |
| (am)n = am · n |
| · Power of a Power Rule |
| Distribute the exponent to everything inside the parentheses: |
| (ab)n = an bn |
| · Power of a Product |
| Distribute the exponent and simplify: |
| · (\(\frac{a}{b})^n = \frac{a^n}{b^n}\) |
| · Power of a Quotient |
| Equate Exponents |
| · Common Bases |
| · Rewrite Bases |
| 3. Negative, Fractional & Advanced Exponents |
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| Understand that a negative exponent represents a reciprocal, not a negative number: |
| \(x^{-n} = \frac{1}{x^n}\) |
| · Negative Exponents |
| Connecting exponents to Square Roots and Cube Roots: |
| \(x^{1/n} = \sqrt[n]{x}\) |
| · Fractional Exponents |
| Combining Negative and Fractional Rules: |
| Simplifying expressions like 8-2/3. |
| · Positive & Negative Fractional Exponents |
| · Converting Between Radical and Exponential Form |
| Use the Product, Quotient, and Power rules in a single expression. |
| · Simplify Exponential Expressions |
| 4. Scientific Notation |
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| Expressing and operating on very large or very small numbers. |
| · Scientific Notation Conversion |
| 5. Roots & Radicals Foundations |
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| Understanding squares, cubes, estimation, and initial simplification. |
| · Squares & Square Roots Game |
| · Estimate Square Roots |
| · Squares & Square Roots Problems |
| · Cubes & Cube Roots Game |
| · Cubes & Cube Roots Problems |
| 6. Simplify Radical Expressions |
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| · Simplifying Radical Expressions Factoring out perfect squares |
| · Simplifying Radical Expressions (with variables) |
| 7. Radical Operations |
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| Performing arithmetic on radicals, rationalizing denominators, and solving radical equations. |
| · Add & Subtract Radicals |
| · Multiply & Divide Radicals |
| · Rationalizing Denominators |
| 8. Radical Equations |
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| · Solve equations with Squares & Square Roots |
| · Solve equations with Cubes & Cube Roots |
| · Solving Radical Equations |
Explore Our Learning Zones
Select a destination below to jump directly to our interactive math games, printable activity sheets, or self-grading online worksheets.
| Learning Destination | What You'll Find Inside | Best For |
|---|---|---|
| Math Games: By Topics By Grades |
Gamified math challenges, speed drills, live score tracking, and instant feedback. | Independent tablet/computer time, fun review, and smartboard group warm-ups. |
| Printable Worksheets | Clean, ready-to-print problem sets, step-by-step guides, and visual math charts. | Offline homework, written practice, tests, and physical classroom centers. |
| Online Worksheets | Digital, fill-in-the-blank practice sheets with auto-grading and step-by-step hints. | Paperless assignments, remote learning, and quick self-assessments. |
Square and Square Root Games
| Alien Powers Squares, Cubes Select the answers before the spaceship lands |
Perfect Squares Questions about perfect square numbers |
| Mathpup Hop Square Root Get the bones for MathPup without letting Blocky, the monster, get MathPup in this fun square root game. Just go to the block containing the answer to the square root problem to get a bone. Move MathPup by clicking on one of the hightlighted blocks that is adjacent to MathPup. | Mathpup Hook Square Root Use the hook and bumpers to swing or bounce MathPup to the Numberball whose number answers the square root problem while avoiding the Numberball that doesn't contain the answer. |
| Mathpup Ppap Square Root Get the pens in the pineapples and apples by solving the square root expressions underneath MathPup. Clear the board before time runs out. | Mathpup Hook Square Root Use the hook and bumpers to swing or bounce MathPup to the Numberball whose number answers the square root decimal problem while avoiding the Numberball that doesn't contain the answer. |
Exponent Games
| Math Speed Exponent 2Keep on racing by keeping your race car fueled up and avoiding other cars. Fuel up by getting the fuel that has the answer to your car's exponent expression. Game over if you run out of fuel or run into another racer. This version is a little more advanced than the regular Math Speed Racing Exponents as the exponent base may be negative in this version. | Math Speed Exponent Keep on racing by keeping your race car fueled up and avoiding other cars. Fuel up by getting the fuel that has the answer to your car's exponent expression. Game over if you run out of fuel or run into another racer. |
| Pyramid Math A quick and simple way to practice finding the Least Common Multiple (LCM) of numbers, finding the Greatest Common Factor (GCF) of numbers or solving square root or exponent problems. Simple to play. Just drag and drop the correct Answer Gem in the jug. Two difficulty settings and 3 game modes to choose from. | Square Roots Find the matching square root of a perfect square |
| Otter Rush Power your Otter Pal with exponents. | Introduction to Exponent Quiz Quiz to test your knowledge of exponents |
| Exponents Less than Greater than Game Compare the numbers with exponents | Exponents Quiz You can change the parameters as you like to include negative bases, square roots, and even logarithms. |
| Exponents Battleship Sink your opponent's ships by answering questions correctly. | Cross Traffic Exponents There isn't any traffic lights at this busy intersection. It's your job to safely keep traffic flowing by stopping and starting cars by evaluating their exponents. But watch out as if you let a car stay stopped too long it might get rammed from behind! |
| Laws of Exponents Rags to Riches - Adding Exponents | Mathpup Exponents Get the pens in the pineapples and apples by answering exponent problems. Clear the board before time runs out. |
| Evaluate Exponents Practice evaluating exponents for Grade 6 |
| Squares with base 0-10 | Squares with base 2-20 |
| Cubes with base 0-10 | Cubes with base 2-20 |
Specify your own conditions for Exponents
Select minimum and maximum values for base and exponent
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