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Class 8 Maths — Exponents and powers

Work out powers and use the laws of exponents to simplify them.

Name: ________________________

  1. 1.What is 2³ (two to the power 3)?

  2. 2.What is 10⁴?

  3. 3.Match each power to its value.

    • 2⁴
    • 3³
    • 5²
    • 10³
    • 7²
    • 49
    • 27
    • 1000
    • 25
    • 16

  4. 4.Simplify (2³)².

    • a) 2⁹
    • b) 2⁵
    • c) 2¹
    • d) 2⁶

  5. 5.Work out each one, then sort it by its value.

    Groups: Equals 8 · Equals 16

    • 16¹
    • 8¹
    • 2 × 4
    • 4²
    • 2⁴
    • 2³

  6. 6.What is 3⁰?

  7. 7.What is 5²?

  8. 8.Write 2⁵ ÷ 2³ as a power of 2.

    • a) 2
    • b) 2²
    • c) 2⁸
    • d) 2¹⁵

Answer key — Class 8 Maths — Exponents and powers

  1. 1. 8
  2. 2. 10000
  3. 3. 2⁴ → 16; 3³ → 27; 5² → 25; 10³ → 1000; 7² → 49
  4. 4. d) 2⁶
  5. 5. 2³ → Equals 8; 2⁴ → Equals 16; 8¹ → Equals 8; 4² → Equals 16; 2 × 4 → Equals 8; 16¹ → Equals 16
  6. 6. 1
  7. 7. 25
  8. 8. b) 2²