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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 167 · 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 7⁻³ (as a fraction)? =
  2. 2.Write 8,600 in standard form as 8.6 × 10ⁿ. What is n?
  3. 3.1.4 × 10⁶ =
  4. 4.Write 9¹⁴ ÷ 9⁵ as a single power 9ⁿ. What is n?
  5. 5.Write 6.4 × 10⁻³ as a decimal. =
  6. 6.What is the value of 4³? =
  7. 7.What is the value of 4⁸? =
  8. 8.2.5 × 10⁶ =
  9. 9.What is the value of (1/4)⁻²? =
  10. 10.What is the value of (3/7)⁻²? =
  11. 11.What is the value of 10⁶ × 10⁻²? =
  12. 12.What is the value of 4⁻¹ (as a fraction)? =
  13. 13.What is the value of 5¹ × 5⁻¹? =
  14. 14.What is the value of 4⁻² (as a fraction)? =
  15. 15.What is the value of 4⁴? =
  16. 16.What is the value of 2⁵ × 2⁻³? =
  17. 17.What is the value of (7/8)⁻¹? =
  18. 18.What is the value of 10⁶ × 10⁻³? =
  19. 19.What is the value of 10¹ × 10⁻¹? =
  20. 20.What is the value of 10³ × 10⁻¹? =
  21. 21.What is the value of (7/9)⁻²? =
  22. 22.What is the value of 2⁵ × 2⁻²? =
  23. 23.Write (7⁵)⁸ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 3⁻⁶ (as a fraction)? =
  25. 25.Write 7.8 × 10⁻¹ as a decimal. =
  26. 26.Write 8⁷ × 8⁶ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 2³ × 2⁻³? =
  28. 28.What is the value of 2⁶ × 2⁻²? =
  29. 29.What is the value of 9⁻³ (as a fraction)? =
  30. 30.What is the value of 2¹²? =
  31. 31.What is the value of 10⁴? =
  32. 32.What is the value of 3⁻³ (as a fraction)? =
  33. 33.What is the value of 2⁹? =
  34. 34.What is the value of (1/7)⁻²? =
  35. 35.What is the value of 5⁵ × 5⁻⁴? =
  36. 36.Write 9¹⁶ ÷ 9⁷ as a single power 9ⁿ. What is n?
  37. 37.Write 4.2 × 10⁻⁴ as a decimal. =
  38. 38.What is the value of 8⁻¹ (as a fraction)? =
  39. 39.What is the value of (2/5)⁻²? =
  40. 40.What is the value of (6/7)⁻¹? =

Answer key

  1. 1/343
  2. 3
  3. 1400000
  4. 9
  5. 0.0064
  6. 64
  7. 65536
  8. 2500000
  9. 16
  10. 49/9
  11. 10000
  12. 1/4
  13. 1
  14. 1/16
  15. 256
  16. 4
  17. 8/7
  18. 1000
  19. 1
  20. 100
  21. 81/49
  22. 8
  23. 40
  24. 1/729
  25. 0.78
  26. 13
  27. 1
  28. 16
  29. 1/729
  30. 4096
  31. 10000
  32. 1/27
  33. 512
  34. 49
  35. 5
  36. 9
  37. 0.00042
  38. 1/8
  39. 25/4
  40. 7/6

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