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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 753 · 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 3⁵ × 3⁻³? =
  2. 2.What is the value of 3⁶? =
  3. 3.What is the value of 9⁵? =
  4. 4.What is the value of 6⁶? =
  5. 5.Write 6⁹ × 6⁸ as a single power 6ⁿ. What is n?
  6. 6.Write 5.3 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 2⁻³ (as a fraction)? =
  8. 8.5.2 × 10³ =
  9. 9.Write (8⁹)³ as a single power 8ⁿ. What is n?
  10. 10.What is the value of 2⁻⁶ (as a fraction)? =
  11. 11.What is the value of 5⁵ × 5⁻²? =
  12. 12.4.9 × 10⁷ =
  13. 13.Write 7.8 × 10⁻¹ as a decimal. =
  14. 14.What is the value of 10⁻² (as a fraction)? =
  15. 15.Write 8⁷ × 8⁷ as a single power 8ⁿ. What is n?
  16. 16.Write 76,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  17. 17.What is the value of 7³? =
  18. 18.What is the value of 5³ × 5⁻⁶? =
  19. 19.Write 1.8 × 10⁻³ as a decimal. =
  20. 20.Write 5.4 × 10⁻¹ as a decimal. =
  21. 21.Write 8¹³ ÷ 8⁵ as a single power 8ⁿ. What is n?
  22. 22.Write 6.7 × 10⁻¹ as a decimal. =
  23. 23.Write 3.9 × 10⁻² as a decimal. =
  24. 24.What is the value of (1/5)⁻¹? =
  25. 25.Write 7,900 in standard form as 7.9 × 10ⁿ. What is n?
  26. 26.What is the value of 10² × 10⁻³? =
  27. 27.Write 9,000 in standard form as 9 × 10ⁿ. What is n?
  28. 28.What is the value of (3/8)⁻²? =
  29. 29.What is the value of 3⁻³ (as a fraction)? =
  30. 30.What is the value of 3⁶ × 3⁻²? =
  31. 31.Write 97,000 in standard form as 9.7 × 10ⁿ. What is n?
  32. 32.Write 5.7 × 10⁻¹ as a decimal. =
  33. 33.Write 1.9 × 10⁻¹ as a decimal. =
  34. 34.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  35. 35.What is the value of 2⁶ × 2⁻²? =
  36. 36.What is the value of 2⁻⁴ (as a fraction)? =
  37. 37.What is the value of (8/9)⁻²? =
  38. 38.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 2⁹? =
  40. 40.What is the value of 5¹ × 5⁻⁴? =

Answer key

  1. 9
  2. 729
  3. 59049
  4. 46656
  5. 17
  6. 0.00053
  7. 1/8
  8. 5200
  9. 27
  10. 1/64
  11. 125
  12. 49000000
  13. 0.78
  14. 1/100
  15. 14
  16. 6
  17. 343
  18. 1/125
  19. 0.0018
  20. 0.54
  21. 8
  22. 0.67
  23. 0.039
  24. 5
  25. 3
  26. 1/10
  27. 3
  28. 64/9
  29. 1/27
  30. 81
  31. 4
  32. 0.57
  33. 0.19
  34. 6
  35. 16
  36. 1/16
  37. 81/64
  38. 6
  39. 512
  40. 1/125

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