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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 327 · 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.Write 2,10,000 in standard form as 2.1 × 10ⁿ. What is n?
  2. 2.Write 32,000 in standard form as 3.2 × 10ⁿ. What is n?
  3. 3.What is the value of 2¹⁴? =
  4. 4.Write 4.7 × 10⁻¹ as a decimal. =
  5. 5.Write 6.6 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 2⁸? =
  7. 7.Write 2.6 × 10⁻² as a decimal. =
  8. 8.Write 9⁵ × 9⁴ as a single power 9ⁿ. What is n?
  9. 9.What is the value of 2¹³? =
  10. 10.Write 5.5 × 10⁻³ as a decimal. =
  11. 11.5.4 × 10⁵ =
  12. 12.What is the value of 2³? =
  13. 13.3.5 × 10⁶ =
  14. 14.Write 7,20,00,000 in standard form as 7.2 × 10ⁿ. What is n?
  15. 15.What is the value of 4⁴? =
  16. 16.What is the value of 3⁴ × 3⁻²? =
  17. 17.2.2 × 10⁷ =
  18. 18.Write 9.9 × 10⁻³ as a decimal. =
  19. 19.What is the value of 3¹ × 3⁻³? =
  20. 20.Write 1.9 × 10⁻³ as a decimal. =
  21. 21.9.7 × 10⁵ =
  22. 22.What is the value of 6²? =
  23. 23.Write 1,20,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  24. 24.What is the value of 10⁵ × 10⁻²? =
  25. 25.What is the value of 10⁵ × 10⁻¹? =
  26. 26.What is the value of 4⁻² (as a fraction)? =
  27. 27.Write 64,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  28. 28.Write 6⁴ ÷ 6² as a single power 6ⁿ. What is n?
  29. 29.What is the value of 5⁶ × 5⁻²? =
  30. 30.What is the value of 7⁻¹ (as a fraction)? =
  31. 31.3.5 × 10⁵ =
  32. 32.What is the value of 5⁷? =
  33. 33.What is the value of 3⁻² (as a fraction)? =
  34. 34.What is the value of (3/5)⁻¹? =
  35. 35.What is the value of (1/2)⁻²? =
  36. 36.Write 8.1 × 10⁻³ as a decimal. =
  37. 37.What is the value of 4⁻¹ (as a fraction)? =
  38. 38.What is the value of 5⁵ × 5⁻¹? =
  39. 39.8.5 × 10⁵ =
  40. 40.8.4 × 10³ =

Answer key

  1. 5
  2. 4
  3. 16384
  4. 0.47
  5. 0.66
  6. 256
  7. 0.026
  8. 9
  9. 8192
  10. 0.0055
  11. 540000
  12. 8
  13. 3500000
  14. 7
  15. 256
  16. 9
  17. 22000000
  18. 0.0099
  19. 1/9
  20. 0.0019
  21. 970000
  22. 36
  23. 7
  24. 1000
  25. 10000
  26. 1/16
  27. 6
  28. 2
  29. 625
  30. 1/7
  31. 350000
  32. 78125
  33. 1/9
  34. 5/3
  35. 4
  36. 0.0081
  37. 1/4
  38. 625
  39. 850000
  40. 8400

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