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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 88 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of 8²? =
  2. 2.What is the value of 2⁶ × 2⁻¹? =
  3. 3.Write (2⁸)³ as a single power 2ⁿ. What is n?
  4. 4.What is the value of 2⁶? =
  5. 5.7.4 × 10⁴ =
  6. 6.Write (7⁵)⁷ as a single power 7ⁿ. What is n?
  7. 7.Write 7⁵ × 7⁵ as a single power 7ⁿ. What is n?
  8. 8.What is the value of 9⁻² (as a fraction)? =
  9. 9.7.6 × 10⁵ =
  10. 10.What is the value of 4⁶? =
  11. 11.Write 1.6 × 10⁻³ as a decimal. =
  12. 12.Write (7⁶)⁸ as a single power 7ⁿ. What is n?
  13. 13.Write 6⁸ × 6² as a single power 6ⁿ. What is n?
  14. 14.1.2 × 10² =
  15. 15.Write 3² × 3⁷ as a single power 3ⁿ. What is n?
  16. 16.Write 1.4 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 3¹⁰? =
  18. 18.Write 8¹⁵ ÷ 8⁸ as a single power 8ⁿ. What is n?
  19. 19.What is the value of (3/4)⁻¹? =
  20. 20.Write 840 in standard form as 8.4 × 10ⁿ. What is n?
  21. 21.Write 3⁷ × 3⁷ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 2⁻⁶ (as a fraction)? =
  23. 23.8.3 × 10⁶ =
  24. 24.2.2 × 10⁷ =
  25. 25.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
  26. 26.What is the value of 2⁵ × 2⁻³? =
  27. 27.Write 6⁹ × 6⁶ as a single power 6ⁿ. What is n?
  28. 28.What is the value of 8³? =
  29. 29.What is the value of 5⁷? =
  30. 30.Write 2⁷ ÷ 2² as a single power 2ⁿ. What is n?
  31. 31.What is the value of 2⁻³ (as a fraction)? =
  32. 32.What is the value of 10³ × 10⁻²? =
  33. 33.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
  34. 34.What is the value of 2²? =
  35. 35.Write 1.2 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 6⁻³ (as a fraction)? =
  37. 37.What is the value of (1/4)⁻²? =
  38. 38.Write 7¹¹ ÷ 7⁷ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 6²? =
  40. 40.What is the value of 2⁻⁵ (as a fraction)? =

Answer key

  1. 64
  2. 32
  3. 24
  4. 64
  5. 74000
  6. 35
  7. 10
  8. 1/81
  9. 760000
  10. 4096
  11. 0.0016
  12. 48
  13. 10
  14. 120
  15. 9
  16. 0.00014
  17. 59049
  18. 7
  19. 4/3
  20. 2
  21. 14
  22. 1/64
  23. 8300000
  24. 22000000
  25. 12
  26. 4
  27. 15
  28. 512
  29. 78125
  30. 5
  31. 1/8
  32. 10
  33. 2
  34. 4
  35. 0.00012
  36. 1/216
  37. 16
  38. 4
  39. 36
  40. 1/32

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