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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 747 · 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 3⁴? =
  2. 2.What is the value of 4⁸? =
  3. 3.Write 28,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  4. 4.Write 4.8 × 10⁻¹ as a decimal. =
  5. 5.Write 7,60,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁵ × 2⁻⁴? =
  7. 7.What is the value of 2¹²? =
  8. 8.Write 9.4 × 10⁻² as a decimal. =
  9. 9.What is the value of 2⁵ × 2⁻⁶? =
  10. 10.2.6 × 10³ =
  11. 11.Write 6 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 10⁴? =
  13. 13.What is the value of 3⁴ × 3⁻⁶? =
  14. 14.Write 7¹⁵ ÷ 7⁶ as a single power 7ⁿ. What is n?
  15. 15.9.2 × 10³ =
  16. 16.What is the value of 3⁻³ (as a fraction)? =
  17. 17.Write 5.5 × 10⁻¹ as a decimal. =
  18. 18.Write 4.2 × 10⁻³ as a decimal. =
  19. 19.What is the value of 2⁹? =
  20. 20.What is the value of 2⁷? =
  21. 21.Write 2,300 in standard form as 2.3 × 10ⁿ. What is n?
  22. 22.What is the value of 4⁴? =
  23. 23.What is the value of 3⁵ × 3⁻⁴? =
  24. 24.What is the value of 2¹ × 2⁻³? =
  25. 25.What is the value of 2⁵? =
  26. 26.4.7 × 10³ =
  27. 27.What is the value of 2⁻² (as a fraction)? =
  28. 28.What is the value of 2² × 2⁻⁴? =
  29. 29.What is the value of 5⁵? =
  30. 30.Write 9,300 in standard form as 9.3 × 10ⁿ. What is n?
  31. 31.Write 4² × 4³ as a single power 4ⁿ. What is n?
  32. 32.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  33. 33.What is the value of 10²? =
  34. 34.Write 9 × 10⁻⁴ as a decimal. =
  35. 35.Write 4.6 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 2⁻⁵ (as a fraction)? =
  37. 37.What is the value of 3⁷? =
  38. 38.What is the value of 2⁴? =
  39. 39.Write 170 in standard form as 1.7 × 10ⁿ. What is n?
  40. 40.What is the value of (5/9)⁻¹? =

Answer key

  1. 81
  2. 65536
  3. 6
  4. 0.48
  5. 7
  6. 2
  7. 4096
  8. 0.094
  9. 1/2
  10. 2600
  11. 0.0006
  12. 10000
  13. 1/9
  14. 9
  15. 9200
  16. 1/27
  17. 0.55
  18. 0.0042
  19. 512
  20. 128
  21. 3
  22. 256
  23. 3
  24. 1/4
  25. 32
  26. 4700
  27. 1/4
  28. 1/4
  29. 3125
  30. 3
  31. 5
  32. 6
  33. 100
  34. 0.0009
  35. 0.46
  36. 1/32
  37. 2187
  38. 16
  39. 2
  40. 9/5

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