🧠 Radicals & Rational Exponents: Show Your Thinking (N-RN.A.2)

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Rewrite expressions involving radicals and rational exponents. Solve each problem and show your work.

1. Write ³√(x¹) with a rational exponent

Show your work

2. Evaluate 16^1/2

Show your work

3. Write ⁵√(x³) with a rational exponent

Show your work

4. Evaluate 125^3/3

Show your work

5. Evaluate 16^3/2

Show your work

6. Write ³√(x²) with a rational exponent

Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) x^(1/3) · 2) 4 · 3) x^(3/5) · 4) 125 · 5) 64 · 6) x^(2/3)

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Worksheets › Grade 9 Math (Algebra I) › Radicals & Rational Exponents › Radicals & Rational Exponents

Grade 9 (ages 14–15)Numbers & mathsFree printable PDF

About this grade 9 worksheet

Free Grade 9 Algebra I math worksheet (Common Core N-RN.A.2): radicals & rational exponents — problems with space to show work and explain reasoning, with answer key. Skill: Rewrite expressions involving radicals and rational exponents. Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS N-RN.A.2: Rewrite expressions involving radicals and rational exponents
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 9 (ages 14–15), but use it with any child who is ready.

What skills does it build?

Rewrite expressions involving radicals and rational exponents.

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More “Radicals & Rational Exponents” printables (n-rn.a.2: rewrite expressions involving radicals and rational exponents)

Radicals & Rational Exponents: Practice A (N-RN.A.2) · Radicals & Rational Exponents: Practice B (N-RN.A.2) · Radicals & Rational Exponents: Mixed Practice & Reasoning (N-RN.A.2) · Radicals & Rational Exponents: Quick Check (N-RN.A.2)

All 5 radicals & rational exponents sheets → · Grade 9 Math (Algebra I): all 10 skills → · All Common Core grades

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