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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 878 · 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 10⁵? =
  2. 2.What is the value of 2⁻⁹ (as a fraction)? =
  3. 3.Write 4.5 × 10⁻² as a decimal. =
  4. 4.What is the value of 3⁴ × 3⁻⁶? =
  5. 5.What is the value of 9²? =
  6. 6.What is the value of 6⁶? =
  7. 7.Write 3² × 3⁴ as a single power 3ⁿ. What is n?
  8. 8.Write 6.8 × 10⁻³ as a decimal. =
  9. 9.Write 5⁹ × 5³ as a single power 5ⁿ. What is n?
  10. 10.What is the value of 2⁷? =
  11. 11.What is the value of 2⁹? =
  12. 12.What is the value of (6/7)⁻²? =
  13. 13.Write 8.2 × 10⁻² as a decimal. =
  14. 14.Write 2⁷ × 2⁶ as a single power 2ⁿ. What is n?
  15. 15.Write (2⁷)⁹ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 7⁵? =
  17. 17.What is the value of 10⁵ × 10⁻²? =
  18. 18.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  19. 19.5.6 × 10⁵ =
  20. 20.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  21. 21.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
  22. 22.What is the value of 7³? =
  23. 23.Write 5¹¹ ÷ 5⁴ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 5² × 5⁻¹? =
  25. 25.What is the value of 3² × 3⁻⁴? =
  26. 26.Write 5.6 × 10⁻¹ as a decimal. =
  27. 27.Write (7⁶)⁹ as a single power 7ⁿ. What is n?
  28. 28.Write 5¹² ÷ 5⁷ as a single power 5ⁿ. What is n?
  29. 29.What is the value of (1/9)⁻²? =
  30. 30.Write 3,900 in standard form as 3.9 × 10ⁿ. What is n?
  31. 31.Write 9.1 × 10⁻² as a decimal. =
  32. 32.Write 6.3 × 10⁻³ as a decimal. =
  33. 33.What is the value of 2⁻⁸ (as a fraction)? =
  34. 34.What is the value of 5⁻² (as a fraction)? =
  35. 35.Write 4⁷ × 4² as a single power 4ⁿ. What is n?
  36. 36.What is the value of (5/9)⁻²? =
  37. 37.Write (2²)⁸ as a single power 2ⁿ. What is n?
  38. 38.What is the value of (1/7)⁻¹? =
  39. 39.Write 7.6 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 10³ × 10⁻²? =

Answer key

  1. 100000
  2. 1/512
  3. 0.045
  4. 1/9
  5. 81
  6. 46656
  7. 6
  8. 0.0068
  9. 12
  10. 128
  11. 512
  12. 49/36
  13. 0.082
  14. 13
  15. 63
  16. 16807
  17. 1000
  18. 6
  19. 560000
  20. 13
  21. 4
  22. 343
  23. 7
  24. 5
  25. 1/9
  26. 0.56
  27. 54
  28. 5
  29. 81
  30. 3
  31. 0.091
  32. 0.0063
  33. 1/256
  34. 1/25
  35. 9
  36. 81/25
  37. 16
  38. 7
  39. 0.00076
  40. 10

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