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Grade 8 Math — Exponents and powers

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

Name: ________________________

  1. 1.What is 3⁰?

  2. 2.Work out 2⁵ ÷ 2³ as an ordinary number.

  3. 3.What is 5²?

  4. 4.Match each power to its value.

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

  5. 5.64 can be written as 2 to some power. What is that power?

  6. 6.Simplify (2³)².

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

  7. 7.Simplify a⁵ × a³.

    • a) a⁸
    • b) a¹⁵
    • c) 2a⁸
    • d) a²

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

Answer key — Grade 8 Math — Exponents and powers

  1. 1. 1
  2. 2. 4
  3. 3. 25
  4. 4. 2⁴ → 16; 3³ → 27; 5² → 25; 10³ → 1000; 7² → 49
  5. 5. 6
  6. 6. d) 2⁶
  7. 7. a) a⁸
  8. 8. 8