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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 911 · 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 6³? =
  2. 2.Write (5⁹)³ as a single power 5ⁿ. What is n?
  3. 3.What is the value of 4⁸? =
  4. 4.What is the value of 5² × 5⁻⁶? =
  5. 5.What is the value of 2⁸? =
  6. 6.What is the value of 3³? =
  7. 7.8.9 × 10⁶ =
  8. 8.Write 7⁸ ÷ 7⁶ as a single power 7ⁿ. What is n?
  9. 9.What is the value of 9⁻¹ (as a fraction)? =
  10. 10.Write 2⁴ × 2⁶ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 10⁶ × 10⁻²? =
  12. 12.What is the value of 3⁻² (as a fraction)? =
  13. 13.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  14. 14.Write 4⁹ × 4⁵ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 3⁸? =
  16. 16.Write 4.5 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 4³? =
  18. 18.What is the value of (2/3)⁻²? =
  19. 19.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
  20. 20.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
  21. 21.What is the value of 3⁴ × 3⁻⁴? =
  22. 22.What is the value of (1/6)⁻¹? =
  23. 23.What is the value of 4⁻³ (as a fraction)? =
  24. 24.What is the value of 10³? =
  25. 25.What is the value of 5³ × 5⁻⁶? =
  26. 26.Write 4³ × 4³ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 2¹¹? =
  28. 28.What is the value of 7⁻¹ (as a fraction)? =
  29. 29.What is the value of (1/5)⁻²? =
  30. 30.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
  31. 31.Write 9.1 × 10⁻² as a decimal. =
  32. 32.What is the value of 5⁻² (as a fraction)? =
  33. 33.What is the value of 8⁵? =
  34. 34.Write 2.5 × 10⁻¹ as a decimal. =
  35. 35.What is the value of 2¹ × 2⁻¹? =
  36. 36.Write 3 × 10⁻² as a decimal. =
  37. 37.What is the value of (2/9)⁻²? =
  38. 38.What is the value of 2⁻⁵ (as a fraction)? =
  39. 39.What is the value of 3⁷? =
  40. 40.What is the value of 2² × 2⁻⁴? =

Answer key

  1. 216
  2. 27
  3. 65536
  4. 1/625
  5. 256
  6. 27
  7. 8900000
  8. 2
  9. 1/9
  10. 10
  11. 10000
  12. 1/9
  13. 9
  14. 14
  15. 6561
  16. 0.45
  17. 64
  18. 9/4
  19. 2
  20. 9
  21. 1
  22. 6
  23. 1/64
  24. 1000
  25. 1/125
  26. 6
  27. 2048
  28. 1/7
  29. 25
  30. 3
  31. 0.091
  32. 1/25
  33. 32768
  34. 0.25
  35. 1
  36. 0.03
  37. 81/4
  38. 1/32
  39. 2187
  40. 1/4

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