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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 925 · 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 5⁵ × 5⁻⁶? =
  2. 2.What is the value of 5² × 5⁻⁴? =
  3. 3.What is the value of 2⁶ × 2⁻⁴? =
  4. 4.Write 1.5 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of (6/7)⁻¹? =
  6. 6.What is the value of 10⁶ × 10⁻²? =
  7. 7.What is the value of 2² × 2⁻⁶? =
  8. 8.Write 7.2 × 10⁻³ as a decimal. =
  9. 9.What is the value of 6²? =
  10. 10.Write 99,000 in standard form as 9.9 × 10ⁿ. What is n?
  11. 11.6.8 × 10² =
  12. 12.What is the value of 10⁴ × 10⁻²? =
  13. 13.Write (8⁷)⁴ as a single power 8ⁿ. What is n?
  14. 14.What is the value of (1/4)⁻¹? =
  15. 15.Write 3⁷ × 3⁷ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 9⁻² (as a fraction)? =
  17. 17.What is the value of 3¹ × 3⁻²? =
  18. 18.3 × 10⁵ =
  19. 19.What is the value of 7⁻¹ (as a fraction)? =
  20. 20.What is the value of 4²? =
  21. 21.What is the value of 2¹ × 2⁻⁵? =
  22. 22.Write 2.5 × 10⁻¹ as a decimal. =
  23. 23.What is the value of 5⁴? =
  24. 24.What is the value of 2¹ × 2⁻¹? =
  25. 25.7.4 × 10⁷ =
  26. 26.What is the value of 9⁻¹ (as a fraction)? =
  27. 27.Write 7.8 × 10⁻³ as a decimal. =
  28. 28.Write 9,80,000 in standard form as 9.8 × 10ⁿ. What is n?
  29. 29.What is the value of (3/7)⁻¹? =
  30. 30.What is the value of 10⁴? =
  31. 31.Write (2³)⁷ as a single power 2ⁿ. What is n?
  32. 32.Write (8⁵)⁵ as a single power 8ⁿ. What is n?
  33. 33.Write 250 in standard form as 2.5 × 10ⁿ. What is n?
  34. 34.What is the value of (3/4)⁻²? =
  35. 35.What is the value of 5³ × 5⁻³? =
  36. 36.What is the value of 3² × 3⁻⁵? =
  37. 37.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  38. 38.Write 3¹⁶ ÷ 3⁹ as a single power 3ⁿ. What is n?
  39. 39.1.1 × 10⁷ =
  40. 40.What is the value of 2⁸? =

Answer key

  1. 1/5
  2. 1/25
  3. 4
  4. 0.00015
  5. 7/6
  6. 10000
  7. 1/16
  8. 0.0072
  9. 36
  10. 4
  11. 680
  12. 100
  13. 28
  14. 4
  15. 14
  16. 1/81
  17. 1/3
  18. 300000
  19. 1/7
  20. 16
  21. 1/16
  22. 0.25
  23. 625
  24. 1
  25. 74000000
  26. 1/9
  27. 0.0078
  28. 5
  29. 7/3
  30. 10000
  31. 21
  32. 25
  33. 2
  34. 16/9
  35. 1
  36. 1/27
  37. 6
  38. 7
  39. 11000000
  40. 256

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