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🧠 Exponent Rules: Show Your Thinking (8.EE.A.1)

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Know and apply the properties of integer exponents. Solve each problem and show your work.

1. 5-2 × 54
Show your work
2. 4-1 ÷ 4-2
Show your work
3. (53)2
Show your work
4. 35 × 33
Show your work
5. 46 ÷ 42
Show your work
6. (40)2
Show your work

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

Answer key: 1) 5^2 = 25 · 2) 4^1 = 4 · 3) 5^6 = 15,625 · 4) 3^8 = 6,561 · 5) 4^4 = 256 · 6) 4^0 = 1
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Worksheets › Grade 8 Math › Exponent Rules › Exponent Rules

Grade 8 (ages 13–14)Numbers & mathsFree printable PDF

About this grade 8 worksheet

Free Grade 8 math worksheet (Common Core 8.EE.A.1): exponent rules — problems with space to show work and explain reasoning, with answer key. Skill: Know and apply the properties of integer exponents. Level: Grade 8 — also suits Year 9 (UK).

For teachers: skills & standards

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What age is it for?

It is designed for Grade 8 (ages 13–14), but use it with any child who is ready.

What skills does it build?

Know and apply the properties of integer exponents.

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More “Exponent Rules” printables (8.ee.a.1: know and apply the properties of integer exponents)

Exponent Rules: Practice A (8.EE.A.1) · Exponent Rules: Practice B (8.EE.A.1) · Exponent Rules: Mixed Practice & Reasoning (8.EE.A.1) · Exponent Rules: Quick Check (8.EE.A.1)

All 5 exponent rules sheets → · Grade 8 Math: all 10 skills → · All Common Core grades

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