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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 285 · 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 2¹¹? =
  2. 2.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  3. 3.What is the value of 5⁵ × 5⁻⁶? =
  4. 4.Write (9⁷)⁹ as a single power 9ⁿ. What is n?
  5. 5.What is the value of 4⁻¹ (as a fraction)? =
  6. 6.Write (4²)⁸ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 8⁴? =
  8. 8.What is the value of 5⁴ × 5⁻⁴? =
  9. 9.Write 8⁵ ÷ 8² as a single power 8ⁿ. What is n?
  10. 10.Write (5⁸)⁹ as a single power 5ⁿ. What is n?
  11. 11.6.7 × 10² =
  12. 12.Write 7.9 × 10⁻³ as a decimal. =
  13. 13.5.9 × 10⁶ =
  14. 14.5.4 × 10⁵ =
  15. 15.What is the value of 2¹ × 2⁻⁶? =
  16. 16.What is the value of 2⁻¹ (as a fraction)? =
  17. 17.Write 4,50,000 in standard form as 4.5 × 10ⁿ. What is n?
  18. 18.Write (6³)⁵ as a single power 6ⁿ. What is n?
  19. 19.What is the value of 2² × 2⁻³? =
  20. 20.What is the value of 4⁴? =
  21. 21.9.6 × 10⁷ =
  22. 22.Write 7.7 × 10⁻² as a decimal. =
  23. 23.What is the value of 2⁻⁸ (as a fraction)? =
  24. 24.What is the value of 5⁶ × 5⁻⁵? =
  25. 25.What is the value of 10⁻³ (as a fraction)? =
  26. 26.Write 2.4 × 10⁻⁴ as a decimal. =
  27. 27.Write 5.6 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 2⁵ × 2⁻¹? =
  29. 29.Write 7¹³ ÷ 7⁵ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 3² × 3⁻⁵? =
  31. 31.Write 1.1 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of (5/9)⁻¹? =
  33. 33.Write (2⁸)⁴ as a single power 2ⁿ. What is n?
  34. 34.What is the value of 8⁻² (as a fraction)? =
  35. 35.Write 5² × 5⁹ as a single power 5ⁿ. What is n?
  36. 36.7.5 × 10⁴ =
  37. 37.What is the value of 6⁴? =
  38. 38.What is the value of 10⁴? =
  39. 39.Write (5⁹)⁷ as a single power 5ⁿ. What is n?
  40. 40.What is the value of (2/9)⁻²? =

Answer key

  1. 2048
  2. 3
  3. 1/5
  4. 63
  5. 1/4
  6. 16
  7. 4096
  8. 1
  9. 3
  10. 72
  11. 670
  12. 0.0079
  13. 5900000
  14. 540000
  15. 1/32
  16. 1/2
  17. 5
  18. 15
  19. 1/2
  20. 256
  21. 96000000
  22. 0.077
  23. 1/256
  24. 5
  25. 1/1000
  26. 0.00024
  27. 0.56
  28. 16
  29. 8
  30. 1/27
  31. 0.00011
  32. 9/5
  33. 32
  34. 1/64
  35. 11
  36. 75000
  37. 1296
  38. 10000
  39. 63
  40. 81/4

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