Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a rational exponents quiz? Then this Algebra 1 quiz on Working with Exponents, Roots and Fractional Powers asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on exponent rules, rational exponents and simplifying roots. Read each explanation to see which rule the wrong answers misuse.
Standards: N-RN.A.1, N-RN.A.2 · Level: Grade 9 Algebra 1
What this Working with Exponents, Roots and Fractional Powers quiz checks
- Same base: xᵃ·xᵇ = xᵃ⁺ᵇ and xᵃ÷xᵇ = xᵃ⁻ᵇ.
- (xᵃ)ᵇ = xᵃᵇ, and x⁰ = 1 for nonzero x.
- A negative exponent means a reciprocal: x⁻ⁿ = 1/xⁿ.
- xᵐ/ⁿ is the nth root of x raised to the mth power.
- Simplify √72 by writing it as √36 · √2 = 6√2.
The 10 questions of the quiz
- Simplify x4 · x6.
- Simplify (x3)5.
- What is 3−2?
- Which two integers is √30 between?
- What is 81/3?
- What is 163/4?
- Simplify √50.
- What is the side length of the square?
- Which radical form equals x5/2?
- Simplify x5 · x2x3.
After the quiz
Missed a question? Reread the Working with Exponents, Roots and Fractional Powers lesson, then take the quiz again. Next, solve the Algebra 1 worksheet on Working with Exponents, Roots and Fractional Powers, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.