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Common Core 8.EE.A.1 worksheet

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.A.1, HSN.RN.A.1, HSA.APR.A.1, HSA.SSE.A.2 · England: KS3 Number, GCSE Foundation Number, GCSE Higher Number

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Date

Score/ 16

  1. Question 1

    Simplify (5x⁴)³.

    • A. 125x¹²
    • B. 125x⁷
    • C. 5x¹²
    • D. 15x¹²
  2. Question 2

    Evaluate (4/3)⁻¹. Give a fraction.

    Answer(as a fraction)

  3. Question 3

    Write 2⁻⁴ as a fraction.

    Answer(as a fraction)

  4. Question 4

    2³ ÷ 2⁶ = 2ᵏ. What is k? (It can be negative.)

    Answer

  5. Question 5

    Simplify: −8x⁹ ÷ 4x³

    Answer

  6. Question 6

    Simplify: (12x⁵y³) ÷ (3xy⁴). Negative exponents are fine.

    Answer

  7. Question 7

    Simplify: (x)(2x⁴)

    Answer

  8. Question 8

    Write 8⁻¹ as a fraction.

    Answer(as a fraction)

  9. Question 9

    Simplify: (2x⁴y)²

    Answer

  10. Question 10

    Simplify: (3x⁴y⁴)(2xy²)

    Answer

  11. Question 11

    Work out 10³ ÷ 10³.

    Answer

  12. Question 12

    Isla wrote (4x⁴)³ = 4x¹². What is the correct simplification?

    • A. 64x¹²
    • B. 64x⁶⁴
    • C. 64x⁷
    • D. 12x¹²
  13. Question 13

    Simplify: (3x²)²

    Answer

  14. Question 14

    Which statement is correct?

    • A. x⁵ × x² = x¹⁰
    • B. x⁵ × x² = x⁷
    • C. x⁵ ÷ x² = x⁷
  15. Question 15

    8⁵ ÷ 8² = 8ᵏ. What is k?

    Answer

  16. Question 16

    Simplify 6a⁴ × 6a³.

    • A. 36a¹²
    • B. 36a⁷
    • C. 12a¹²
    • D. 12a⁷

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Answer key: Common Core 8.EE.A.1 worksheet

  1. 1. A. 125x¹²

  2. 2. 3/4

  3. 3. 1/16

  4. 4. -3

  5. 5. -2x^6

  6. 6. 4*x^(4)*y^(-1)

  7. 7. 2x^5

  8. 8. 1/8

  9. 9. 4x^8y^2

  10. 10. 6x^5y^6

  11. 11. 1

  12. 12. A. 64x¹²

  13. 13. 9x^4

  14. 14. B. x⁵ × x² = x⁷

  15. 15. 3

  16. 16. B. 36a⁷

8.EE.A.1 Worksheet: Laws of exponents (indices) | Eurekami