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Exponents

Grades 5 to 8 (Years 5 to 9 in England) · 16 questions · Common Core: 6.EE.A.1, 8.EE.A.1 · England: KS3 Number, GCSE Foundation Number, Y6 Number – multiplication and division

Name

Date

Score/ 16

  1. Question 1

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

    Answer

  2. Question 2

    Evaluate 4 × 2³.

    Answer

  3. Question 3

    Write 11 × 11 × 11 × 11 × 11 as a power (for example 4^3).

    Answer

  4. Question 4

    Jamal says 2⁵ × 2³ = 4⁸. Work out the correct value of 2⁵ × 2³ as a number.

    Answer

  5. Question 5

    In 8⁷, what is the exponent?

    Answer

  6. Question 6

    (2⁶)³ = 2ᵏ. What is k?

    Answer

  7. Question 7

    8⁶ ÷ 8³ = 8ᵏ. What is k?

    Answer

  8. Question 8

    7³ × 7⁸ = 7ⁿ. What is n?

    Answer

  9. Question 9

    Simplify 18x¹¹ ÷ 6x⁵.

    • A. 3x²
    • B. 3x⁶
    • C. 12x⁶
    • D. 3x¹⁶
  10. Question 10

    Simplify (3x⁴)³.

    • A. 9x¹²
    • B. 3x¹²
    • C. 27x⁷
    • D. 27x¹²
  11. Question 11

    Yuki says 4⁴ = 16. What mistake did Yuki make, and what is the correct value?

    Answer

  12. Question 12

    3² + 5³ = ?

    Answer

  13. Question 13

    A square patio has an area of 49 m². How long is each side?

    Answer

  14. Question 14

    Work out 3⁸ ÷ 3⁵ as a number.

    Answer

  15. Question 15

    Evaluate 4³.

    Answer

  16. Question 16

    Simplify 5a² × 4a³.

    • A. 9a⁶
    • B. 20a⁵
    • C. 20a⁶
    • D. 9a⁵

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Answer key: Exponents

  1. 1. 6

  2. 2. 32

  3. 3. 11⁵

  4. 4. 256

  5. 5. 7

  6. 6. 18

  7. 7. 3

  8. 8. 11

  9. 9. B. 3x⁶

  10. 10. D. 27x¹²

  11. 11. 256

  12. 12. 134

  13. 13. 7

  14. 14. 27

  15. 15. 64

  16. 16. B. 20a⁵