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Raise a power to a power

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.A.1 · England: KS3 Number, GCSE Foundation Number

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  1. Question 1

    Simplify (3x²)².

    • A. 9x⁴
    • B. 6x⁴
    • C. 3x⁴
  2. Question 2

    Write 4⁶ as a power of 2. What is the exponent?

    Answer

  3. Question 3

    (3⁵)⁵ = 3ᵏ. What is k?

    Answer

  4. Question 4

    Simplify (3x⁴)³.

    • A. 9x¹²
    • B. 3x¹²
    • C. 27x⁷
    • D. 27x¹²
  5. Question 5

    Write 4⁵ as a power of 2. What is the exponent?

    Answer

  6. Question 6

    (4⁵)³ = 4ᵏ. What is k?

    Answer

  7. Question 7

    Simplify (5x⁵)³.

    • A. 125x⁸
    • B. 15x¹⁵
    • C. 5x¹⁵
    • D. 125x¹⁵
  8. Question 8

    Write 4³ as a power of 2. What is the exponent?

    Answer

  9. Question 9

    (8³)⁴ = 8ᵏ. What is k?

    Answer

  10. Question 10

    Simplify (2x²)².

    • A. 4x⁴
    • B. 2x⁴
  11. Question 11

    Write 4² as a power of 2. What is the exponent?

    Answer

  12. Question 12

    (4⁶)⁵ = 4ᵏ. What is k?

    Answer

  13. Question 13

    Simplify (2x⁴)².

    • A. 2x⁸
    • B. 4x⁸
    • C. 4x⁶
  14. Question 14

    Write 4⁶ as a power of 2. What is the exponent?

    Answer

  15. Question 15

    (4⁴)² = 4ᵏ. What is k?

    Answer

  16. Question 16

    Simplify (5x²)².

    • A. 25x⁴
    • B. 5x⁴
    • C. 10x⁴

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Answer key: Raise a power to a power

  1. 1. A. 9x⁴

  2. 2. 12

  3. 3. 25

  4. 4. D. 27x¹²

  5. 5. 10

  6. 6. 15

  7. 7. D. 125x¹⁵

  8. 8. 6

  9. 9. 12

  10. 10. A. 4x⁴

  11. 11. 4

  12. 12. 30

  13. 13. B. 4x⁸

  14. 14. 12

  15. 15. 8

  16. 16. A. 25x⁴