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Grade 7 Math — Powers and exponents

Read and write a power, work out its value, and use the laws for multiplying and dividing powers of the same base.

Name: ________________________

Before you start

This line runs to thirty-two in twos. Find 2, 4, 8, 16 and 32 on it, and see how far apart they get.

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Each of those is double the one before, so every jump is as long as the whole walk that came before it. A power grows far faster than the small numbers writing it suggest.

  1. 1.10⁵ ÷ 10² is the same as which single power?

    • a) 10⁷
    • b) 10²
    • c) 10¹⁰
    • d) 10³

  2. 2.What is 6²?

  3. 3.Which is larger: 2⁵ or 5²?

    • a) There is no way to tell
    • b) 2⁵
    • c) 5²
    • d) They are equal

  4. 4.Match each number to the power of 10 it is equal to.

    • 1
    • 10
    • 100
    • 1000
    • 10000
    • 10¹
    • 10³
    • 10²
    • 10⁰
    • 10⁴

  5. 5.7⁴ × 7³ is the same as which single power?

    • a) 7⁷
    • b) 7¹
    • c) 49⁷
    • d) 7¹²

  6. 6.Which power means the same as 3 × 3 × 3 × 3?

    • a) 3⁴
    • b) 4³
    • c) 3⁵
    • d) 3 × 4

  7. 7.What is 10³?

  8. 8.81 is 3 to some power. What is that power?

Answer key — Grade 7 Math — Powers and exponents

  1. 1. d) 10³
  2. 2. 36
  3. 3. b) 2⁵
  4. 4. 1 → 10⁰; 10 → 10¹; 100 → 10²; 1000 → 10³; 10000 → 10⁴
  5. 5. a) 7⁷
  6. 6. a) 3⁴
  7. 7. 1000
  8. 8. 4