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Laws of exponents (indices)

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

Name

Date

Score/ 16

  1. Question 1

    Evaluate 5⁻³ as a fraction.

    Answer(as a fraction)

  2. Question 2

    Simplify y¹⁰ ÷ y³ and write it as y to a single power. What is the power?

    Answer

  3. Question 3

    Simplify 2² × 2¹ ÷ 2², then evaluate. Give your answer as a number (a fraction is fine).

    Answer

  4. Question 4

    Evaluate 10⁰.

    Answer

  5. Question 5

    Simplify a⁹ × a² and write it as a to a single power. What is the power?

    Answer

  6. Question 6

    Simplify 2⁵ × 2² ÷ 2², then evaluate. Give your answer as a number (a fraction is fine).

    Answer

  7. Question 7

    Evaluate 3⁻² as a fraction.

    Answer(as a fraction)

  8. Question 8

    Simplify (a²)⁴ and write it as a to a single power. What is the power?

    Answer

  9. Question 9

    Simplify 2⁵ × 2² ÷ 2², then evaluate. Give your answer as a number (a fraction is fine).

    Answer

  10. Question 10

    Evaluate 4⁻² as a fraction.

    Answer(as a fraction)

  11. Question 11

    Simplify (y³)⁴ and write it as y to a single power. What is the power?

    Answer

  12. Question 12

    Simplify 2⁵ × 2¹ ÷ 2³, then evaluate. Give your answer as a number (a fraction is fine).

    Answer

  13. Question 13

    Evaluate 5⁰.

    Answer

  14. Question 14

    Simplify (y⁹)⁹ and write it as y to a single power. What is the power?

    Answer

  15. Question 15

    Simplify 2⁵ × 2³ ÷ 2⁵, then evaluate. Give your answer as a number (a fraction is fine).

    Answer

  16. Question 16

    Evaluate 4⁻¹ as a fraction.

    Answer(as a fraction)

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Answer key: Laws of exponents (indices)

  1. 1. 1/125

  2. 2. 7

  3. 3. 2

  4. 4. 1

  5. 5. 11

  6. 6. 32

  7. 7. 1/9

  8. 8. 8

  9. 9. 32

  10. 10. 1/16

  11. 11. 12

  12. 12. 8

  13. 13. 1

  14. 14. 81

  15. 15. 8

  16. 16. 1/4