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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 347 · 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.Write (8⁶)² as a single power 8ⁿ. What is n?
  2. 2.Write 8⁶ × 8⁷ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 4³? =
  4. 4.Write (9⁹)⁴ as a single power 9ⁿ. What is n?
  5. 5.What is the value of 2³ × 2⁻²? =
  6. 6.Write 2.8 × 10⁻⁴ as a decimal. =
  7. 7.Write 7,60,000 in standard form as 7.6 × 10ⁿ. What is n?
  8. 8.What is the value of 10⁵ × 10⁻⁶? =
  9. 9.What is the value of 2⁴ × 2⁻⁶? =
  10. 10.Write (4⁶)² as a single power 4ⁿ. What is n?
  11. 11.Write 4² × 4⁵ as a single power 4ⁿ. What is n?
  12. 12.Write 7⁴ × 7⁵ as a single power 7ⁿ. What is n?
  13. 13.8.7 × 10⁵ =
  14. 14.Write 1,40,00,000 in standard form as 1.4 × 10ⁿ. What is n?
  15. 15.What is the value of (2/9)⁻¹? =
  16. 16.What is the value of 10⁵ × 10⁻²? =
  17. 17.What is the value of 2⁻⁸ (as a fraction)? =
  18. 18.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
  19. 19.3.5 × 10⁶ =
  20. 20.What is the value of (1/3)⁻¹? =
  21. 21.7.5 × 10² =
  22. 22.What is the value of 6⁻² (as a fraction)? =
  23. 23.What is the value of 5⁵? =
  24. 24.What is the value of 3⁻⁵ (as a fraction)? =
  25. 25.What is the value of 2¹⁰? =
  26. 26.What is the value of 2² × 2⁻⁴? =
  27. 27.What is the value of 2¹²? =
  28. 28.What is the value of 2⁹? =
  29. 29.Write 2⁹ × 2⁸ as a single power 2ⁿ. What is n?
  30. 30.What is the value of (6/7)⁻¹? =
  31. 31.9.3 × 10² =
  32. 32.Write (6⁷)⁹ as a single power 6ⁿ. What is n?
  33. 33.Write 6.3 × 10⁻⁴ as a decimal. =
  34. 34.Write 5.2 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 2⁸? =
  36. 36.Write 9⁶ × 9⁵ as a single power 9ⁿ. What is n?
  37. 37.Write 2.4 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of (4/5)⁻¹? =
  39. 39.Write 590 in standard form as 5.9 × 10ⁿ. What is n?
  40. 40.Write 9.5 × 10⁻¹ as a decimal. =

Answer key

  1. 12
  2. 13
  3. 64
  4. 36
  5. 2
  6. 0.00028
  7. 5
  8. 1/10
  9. 1/4
  10. 12
  11. 7
  12. 9
  13. 870000
  14. 7
  15. 9/2
  16. 1000
  17. 1/256
  18. 3
  19. 3500000
  20. 3
  21. 750
  22. 1/36
  23. 3125
  24. 1/243
  25. 1024
  26. 1/4
  27. 4096
  28. 512
  29. 17
  30. 7/6
  31. 930
  32. 63
  33. 0.00063
  34. 0.00052
  35. 256
  36. 11
  37. 0.00024
  38. 5/4
  39. 2
  40. 0.95

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