Exponents Practice
20 questions · 60 seconds · powers of whole numbers
Free · no login · instant feedback on every answer
Make powers feel like facts: 20 exponent evaluation questions — squares, cubes, and beyond — against the clock. Exponents are compact repeated multiplication, and evaluating them quickly depends on exactly the multiplication fluency the rest of this site drills.
Squares through 12² and the small cubes behave like times-table facts in later math: they appear in area, volume, the Pythagorean theorem, and scientific notation. Recognizing 64 as both 8² and 4³ is the kind of number sense this practice builds.
Tips That Make It Stick
- The exponent counts factors, not multiplications. 5³ means 5 × 5 × 5 — the base written three times. The most common error, 5 × 3, forgets what the little number counts.
- Memorize the squares first. The squares from 1² to 12² are the backbone. They come free with the times tables — 7² is just the 7s table's own fact, 49.
- Know the tiny cubes. 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125. Four facts cover most cube questions a middle schooler will meet.
Frequently Asked Questions
What does an exponent mean?
The exponent tells how many copies of the base to multiply together: 3⁴ = 3 × 3 × 3 × 3 = 81. It is repeated multiplication, the same way multiplication is repeated addition.
What grade learns exponents?
Exponents are introduced in 5th and 6th grade with whole-number bases, and become central in pre-algebra (7th-8th grade) with negative bases and the order of operations.
What is the difference between 2³ and 3²?
2³ = 2 × 2 × 2 = 8, while 3² = 3 × 3 = 9. Unlike multiplication, exponentiation is not commutative — swapping base and exponent usually changes the answer.
📝 Matching Printable Worksheets
Prefer paper practice? These free PDF worksheets cover the same skill — each includes an answer key: