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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 962 · 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 7⁹ × 7⁴ as a single power 7ⁿ. What is n?
  2. 2.Write 7.8 × 10⁻² as a decimal. =
  3. 3.4.8 × 10² =
  4. 4.What is the value of (4/5)⁻¹? =
  5. 5.4.2 × 10⁴ =
  6. 6.6.3 × 10² =
  7. 7.Write 3⁷ × 3⁸ as a single power 3ⁿ. What is n?
  8. 8.What is the value of (7/8)⁻²? =
  9. 9.What is the value of 6⁶? =
  10. 10.What is the value of 3⁴ × 3⁻⁴? =
  11. 11.What is the value of 8²? =
  12. 12.What is the value of 2⁶ × 2⁻²? =
  13. 13.What is the value of 3² × 3⁻⁵? =
  14. 14.What is the value of 4⁶? =
  15. 15.Write 2² × 2³ as a single power 2ⁿ. What is n?
  16. 16.Write (2³)³ as a single power 2ⁿ. What is n?
  17. 17.4.6 × 10⁶ =
  18. 18.What is the value of 3³ × 3⁻³? =
  19. 19.What is the value of 2⁶ × 2⁻⁴? =
  20. 20.Write 4.4 × 10⁻² as a decimal. =
  21. 21.What is the value of 3⁹? =
  22. 22.Write 6.7 × 10⁻¹ as a decimal. =
  23. 23.What is the value of (1/2)⁻¹? =
  24. 24.Write 99,000 in standard form as 9.9 × 10ⁿ. What is n?
  25. 25.What is the value of 5⁵ × 5⁻¹? =
  26. 26.What is the value of 3² × 3⁻⁶? =
  27. 27.Write (7⁵)⁷ as a single power 7ⁿ. What is n?
  28. 28.What is the value of 2¹ × 2⁻⁴? =
  29. 29.Write 1.2 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 10³ × 10⁻²? =
  31. 31.Write 1.7 × 10⁻² as a decimal. =
  32. 32.What is the value of 9³? =
  33. 33.Write 9,000 in standard form as 9 × 10ⁿ. What is n?
  34. 34.What is the value of 3⁶ × 3⁻³? =
  35. 35.What is the value of 10³ × 10⁻⁴? =
  36. 36.What is the value of 9⁻³ (as a fraction)? =
  37. 37.Write 2.7 × 10⁻⁴ as a decimal. =
  38. 38.Write 4.5 × 10⁻¹ as a decimal. =
  39. 39.Write (6⁹)⁷ as a single power 6ⁿ. What is n?
  40. 40.What is the value of 10⁴ × 10⁻²? =

Answer key

  1. 13
  2. 0.078
  3. 480
  4. 5/4
  5. 42000
  6. 630
  7. 15
  8. 64/49
  9. 46656
  10. 1
  11. 64
  12. 16
  13. 1/27
  14. 4096
  15. 5
  16. 9
  17. 4600000
  18. 1
  19. 4
  20. 0.044
  21. 19683
  22. 0.67
  23. 2
  24. 4
  25. 625
  26. 1/81
  27. 35
  28. 1/8
  29. 0.00012
  30. 10
  31. 0.017
  32. 729
  33. 3
  34. 27
  35. 1/10
  36. 1/729
  37. 0.00027
  38. 0.45
  39. 63
  40. 100

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