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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 447 · 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 3³ × 3⁻⁵? =
  2. 2.What is the value of 10¹ × 10⁻²? =
  3. 3.What is the value of 2⁸? =
  4. 4.Write 2¹⁴ ÷ 2⁸ as a single power 2ⁿ. What is n?
  5. 5.What is the value of 5¹ × 5⁻⁶? =
  6. 6.What is the value of 4³? =
  7. 7.What is the value of 10⁴? =
  8. 8.What is the value of 2⁷? =
  9. 9.What is the value of (7/9)⁻²? =
  10. 10.What is the value of 7³? =
  11. 11.What is the value of (3/4)⁻¹? =
  12. 12.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
  13. 13.What is the value of 9⁵? =
  14. 14.Write 7⁹ × 7⁷ as a single power 7ⁿ. What is n?
  15. 15.What is the value of (7/8)⁻¹? =
  16. 16.What is the value of 2¹ × 2⁻¹? =
  17. 17.Write 8.2 × 10⁻² as a decimal. =
  18. 18.4 × 10⁶ =
  19. 19.What is the value of 3⁷? =
  20. 20.Write 8.5 × 10⁻¹ as a decimal. =
  21. 21.Write 2¹² ÷ 2⁶ as a single power 2ⁿ. What is n?
  22. 22.Write (2⁶)² as a single power 2ⁿ. What is n?
  23. 23.Write 2⁵ × 2⁹ as a single power 2ⁿ. What is n?
  24. 24.Write 2¹³ ÷ 2⁵ as a single power 2ⁿ. What is n?
  25. 25.5.8 × 10⁵ =
  26. 26.7.8 × 10⁶ =
  27. 27.What is the value of 4²? =
  28. 28.What is the value of 3³? =
  29. 29.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  30. 30.Write 4.2 × 10⁻³ as a decimal. =
  31. 31.Write 3³ × 3² as a single power 3ⁿ. What is n?
  32. 32.Write 4⁷ ÷ 4⁴ as a single power 4ⁿ. What is n?
  33. 33.What is the value of 2⁻³ (as a fraction)? =
  34. 34.Write 7,90,000 in standard form as 7.9 × 10ⁿ. What is n?
  35. 35.What is the value of (6/7)⁻²? =
  36. 36.What is the value of 10² × 10⁻²? =
  37. 37.Write 3 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 7⁴? =
  39. 39.Write 5.8 × 10⁻⁴ as a decimal. =
  40. 40.Write 5.4 × 10⁻⁴ as a decimal. =

Answer key

  1. 1/9
  2. 1/10
  3. 256
  4. 6
  5. 1/3125
  6. 64
  7. 10000
  8. 128
  9. 81/49
  10. 343
  11. 4/3
  12. 3
  13. 59049
  14. 16
  15. 8/7
  16. 1
  17. 0.082
  18. 4000000
  19. 2187
  20. 0.85
  21. 6
  22. 12
  23. 14
  24. 8
  25. 580000
  26. 7800000
  27. 16
  28. 27
  29. 2
  30. 0.0042
  31. 5
  32. 3
  33. 1/8
  34. 5
  35. 49/36
  36. 1
  37. 0.0003
  38. 2401
  39. 0.00058
  40. 0.00054

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