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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 931 · 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 2³ × 2⁻⁴? =
  2. 2.Write 6¹¹ ÷ 6⁹ as a single power 6ⁿ. What is n?
  3. 3.Write 2.2 × 10⁻³ as a decimal. =
  4. 4.Write 4.4 × 10⁻¹ as a decimal. =
  5. 5.1.2 × 10⁷ =
  6. 6.What is the value of 10⁵ × 10⁻⁶? =
  7. 7.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  8. 8.What is the value of 2⁷? =
  9. 9.What is the value of 5⁻² (as a fraction)? =
  10. 10.9.7 × 10⁷ =
  11. 11.What is the value of 3⁶ × 3⁻²? =
  12. 12.What is the value of 2¹⁴? =
  13. 13.What is the value of 5⁴ × 5⁻⁵? =
  14. 14.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
  15. 15.What is the value of 10⁶ × 10⁻²? =
  16. 16.What is the value of 3³? =
  17. 17.What is the value of 2¹⁵? =
  18. 18.Write 740 in standard form as 7.4 × 10ⁿ. What is n?
  19. 19.Write 6⁹ × 6⁷ as a single power 6ⁿ. What is n?
  20. 20.What is the value of 6³? =
  21. 21.What is the value of 5³ × 5⁻³? =
  22. 22.What is the value of 5⁵? =
  23. 23.Write 1.2 × 10⁻³ as a decimal. =
  24. 24.Write 5,500 in standard form as 5.5 × 10ⁿ. What is n?
  25. 25.What is the value of 4⁴? =
  26. 26.What is the value of 2⁴? =
  27. 27.What is the value of 3⁻² (as a fraction)? =
  28. 28.What is the value of (1/4)⁻²? =
  29. 29.What is the value of 2³ × 2⁻³? =
  30. 30.Write 5.5 × 10⁻² as a decimal. =
  31. 31.What is the value of (5/8)⁻¹? =
  32. 32.Write 9⁴ × 9⁷ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 5³? =
  34. 34.5.1 × 10³ =
  35. 35.Write 9⁴ × 9² as a single power 9ⁿ. What is n?
  36. 36.Write 850 in standard form as 8.5 × 10ⁿ. What is n?
  37. 37.Write 5⁹ ÷ 5³ as a single power 5ⁿ. What is n?
  38. 38.What is the value of 2⁻⁹ (as a fraction)? =
  39. 39.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  40. 40.Write 9.7 × 10⁻³ as a decimal. =

Answer key

  1. 1/2
  2. 2
  3. 0.0022
  4. 0.44
  5. 12000000
  6. 1/10
  7. 5
  8. 128
  9. 1/25
  10. 97000000
  11. 81
  12. 16384
  13. 1/5
  14. 3
  15. 10000
  16. 27
  17. 32768
  18. 2
  19. 16
  20. 216
  21. 1
  22. 3125
  23. 0.0012
  24. 3
  25. 256
  26. 16
  27. 1/9
  28. 16
  29. 1
  30. 0.055
  31. 8/5
  32. 11
  33. 125
  34. 5100
  35. 6
  36. 2
  37. 6
  38. 1/512
  39. 8
  40. 0.0097

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