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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 610 · 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. 1.5.8 × 10⁵ =
  2. 2.9.7 × 10⁴ =
  3. 3.What is the value of 3⁴? =
  4. 4.Write 6² × 6⁷ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 4³? =
  6. 6.4.4 × 10² =
  7. 7.4.1 × 10⁶ =
  8. 8.What is the value of (2/9)⁻²? =
  9. 9.What is the value of 10³ × 10⁻³? =
  10. 10.What is the value of 6⁶? =
  11. 11.What is the value of (1/2)⁻²? =
  12. 12.What is the value of 2⁶? =
  13. 13.Write 7.8 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 9⁵? =
  15. 15.What is the value of 2⁴ × 2⁻⁴? =
  16. 16.Write 7⁸ × 7⁷ as a single power 7ⁿ. What is n?
  17. 17.What is the value of 3⁴ × 3⁻⁴? =
  18. 18.What is the value of (5/8)⁻²? =
  19. 19.What is the value of (2/3)⁻²? =
  20. 20.What is the value of 3² × 3⁻⁵? =
  21. 21.Write 1.1 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 2² × 2⁻²? =
  23. 23.What is the value of 8⁻² (as a fraction)? =
  24. 24.Write 4⁵ × 4⁴ as a single power 4ⁿ. What is n?
  25. 25.5.3 × 10⁷ =
  26. 26.What is the value of 3¹⁰? =
  27. 27.Write 94,00,000 in standard form as 9.4 × 10ⁿ. What is n?
  28. 28.What is the value of 2⁵? =
  29. 29.What is the value of (7/8)⁻¹? =
  30. 30.Write 3.3 × 10⁻⁴ as a decimal. =
  31. 31.Write 5.6 × 10⁻² as a decimal. =
  32. 32.What is the value of 7²? =
  33. 33.What is the value of 5⁴ × 5⁻¹? =
  34. 34.What is the value of 6⁻³ (as a fraction)? =
  35. 35.What is the value of (4/7)⁻¹? =
  36. 36.Write (8³)⁷ as a single power 8ⁿ. What is n?
  37. 37.Write 9,000 in standard form as 9 × 10ⁿ. What is n?
  38. 38.What is the value of 5⁵ × 5⁻⁶? =
  39. 39.What is the value of (1/8)⁻²? =
  40. 40.Write 4,90,00,000 in standard form as 4.9 × 10ⁿ. What is n?

Answer key

  1. 580000
  2. 97000
  3. 81
  4. 9
  5. 64
  6. 440
  7. 4100000
  8. 81/4
  9. 1
  10. 46656
  11. 4
  12. 64
  13. 0.00078
  14. 59049
  15. 1
  16. 15
  17. 1
  18. 64/25
  19. 9/4
  20. 1/27
  21. 0.11
  22. 1
  23. 1/64
  24. 9
  25. 53000000
  26. 59049
  27. 6
  28. 32
  29. 8/7
  30. 0.00033
  31. 0.056
  32. 49
  33. 125
  34. 1/216
  35. 7/4
  36. 21
  37. 3
  38. 1/5
  39. 64
  40. 7

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