➕ Algebra 1 · Exponents and Polynomials
Laws of Exponents practice questions
Questions start easy and step up. Before you answer, rate how sure you are. It trains you to know what you really know.
Want more questions?
These 6 samples are free for everyone. A free account adds 50 more questions and 2 hours of practice time every month, and HighSchoolQ Plus unlocks the full question bank, mixed review, progress tracking and printable packs.
See plansAnswer key with explanations
Simplify x6 · x2.
Answer: x8. Same base, so add the exponents: 6 + 2 = 8.
Simplify (x4)3.
Answer: x12. Power of a power, so multiply the exponents: 4 · 3 = 12.
Simplify (3x2)2.
Answer: 9x4. Square both factors: 32 = 9 and (x2)2 = x4.
Simplify 18x9 ÷ (6x3), with x ≠ 0.
Answer: 3x6. Divide the coefficients (18 ÷ 6 = 3) and subtract the exponents (9 − 3 = 6).
Which expression equals (2x3)(4x5)?
Answer: 8x8. Multiply the coefficients (2 · 4 = 8) and add the exponents (3 + 5 = 8).
Maya wrote x2 · x3 = x6. What mistake did she make?
Answer: She multiplied the exponents instead of adding them.. The product rule adds exponents: 2 + 3 = 5, so the answer is x5. Maya multiplied 2 · 3 = 6.