Match: Properties of Exponents
Deepen your understanding of exponents with this eighth-grade math game! In Match: Properties of Exponents, learners put their knowledge to the test as they match equivalent expressions using the properties of exponents. Three rounds of practice cover four properties — a great way to practice simplifying expressions with exponents.
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How to Play Match: Properties of Exponents
Review the Four Properties
On the start screen, scan the product, quotient, power-of-a-power, and negative-exponent rules. These are the only laws you need for every pair in the game.
Find Equivalent Expressions
Twelve cards are visible at once. Look for an unsimplified expression and its simplified form — for example (x²)³ with x⁶, or x⁻³ with 1/x³.
Tap a Matching Pair
Tap one card, then the card that equals it. A correct pair stays green and shows which property you used. A mismatch flashes red; try a different pair.
Clear Three Rounds
After six matches, start the next round with a new mix of pairs. Complete all three rounds to see your final score, accuracy, and time.
Key Features
Three Rounds, Four Properties
Each game has three rounds of six pairs. Every round mixes product of powers, quotient of powers, power of a power, and negative exponents so learners practice all four 8th-grade exponent laws — not just one rule at a time.
Match Equivalent Expressions
All cards stay face-up. Tap two expressions that mean the same thing, such as x³ · x⁴ and x⁷. Correct pairs stay highlighted and name the property you used. Wrong pairs flash red and cost a few points.
Lobby Reference Card
Before play, a color-coded cheat sheet shows the four laws in symbols: aᵐ · aⁿ = aᵐ⁺ⁿ, aᵐ / aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, and a⁻ⁿ = 1/aⁿ. After each match, that same rule pops up so the connection sticks.
Score, Stars, and Best Score
A correct match is worth 100 points; a miss subtracts 10. Finish all three rounds to see matches, misses, time, and a 1–3 star rating. Your best score is saved in the browser.
Frequently Asked Questions
Which properties of exponents are covered?
Four 8th-grade laws (CCSS 8.EE.1): product of powers (add exponents when multiplying the same base), quotient of powers (subtract exponents when dividing the same base), power of a power (multiply exponents), and the negative-exponent rule (a⁻ⁿ = 1/aⁿ). Zero as a result of the quotient rule (b⁴ / b⁴ = 1) also appears.
How is this different from the Exponent Rules quiz?
Exponent Rules is a multiple-choice quiz for Algebra I through SAT, including fractional exponents and exponential equations. This game is an 8th-grade matching activity: you pair equivalent expressions across three short rounds instead of picking from four answer choices.
How does scoring work?
Each correct pair is +100 points. Each mismatch is −10 (score never goes below 0). Three or fewer misses across the whole game earns 3 stars; up to six misses earns 2 stars; more than that earns 1 star. Best score is stored locally.
Do the pairs change each game?
Yes. Each property has a pool of eighth-grade expressions. Every round draws a fresh mix so you see different bases and exponents on replay, while still covering all four properties each game.
Is this aligned to 8th-grade math?
Yes. It targets simplifying expressions with integer exponents — the core of grade 8 expressions and equations work — without fractional exponents or solving exponential equations.