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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 430 · 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 72,00,000 in standard form as 7.2 × 10ⁿ. What is n?
  2. 2.What is the value of 5⁶? =
  3. 3.What is the value of 2⁶ × 2⁻⁴? =
  4. 4.Write 1.2 × 10⁻² as a decimal. =
  5. 5.Write 3.5 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 3²? =
  7. 7.What is the value of 4⁸? =
  8. 8.What is the value of 3¹⁰? =
  9. 9.What is the value of 7⁻¹ (as a fraction)? =
  10. 10.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  11. 11.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  12. 12.Write 3⁶ ÷ 3⁴ as a single power 3ⁿ. What is n?
  13. 13.Write 1,300 in standard form as 1.3 × 10ⁿ. What is n?
  14. 14.Write (6⁷)⁹ as a single power 6ⁿ. What is n?
  15. 15.Write 7² × 7⁸ as a single power 7ⁿ. What is n?
  16. 16.Write 1.6 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 10⁴ × 10⁻¹? =
  18. 18.What is the value of 2¹¹? =
  19. 19.What is the value of 3¹ × 3⁻²? =
  20. 20.Write 3.2 × 10⁻³ as a decimal. =
  21. 21.What is the value of 3⁸? =
  22. 22.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  23. 23.Write (3⁷)⁴ as a single power 3ⁿ. What is n?
  24. 24.What is the value of (3/4)⁻¹? =
  25. 25.What is the value of 2⁻² (as a fraction)? =
  26. 26.What is the value of 2⁸? =
  27. 27.What is the value of 3³? =
  28. 28.Write 5¹⁴ ÷ 5⁸ as a single power 5ⁿ. What is n?
  29. 29.2.6 × 10⁴ =
  30. 30.What is the value of 2⁵ × 2⁻⁴? =
  31. 31.What is the value of 2⁴ × 2⁻³? =
  32. 32.What is the value of 2⁶ × 2⁻²? =
  33. 33.5 × 10³ =
  34. 34.What is the value of 2² × 2⁻³? =
  35. 35.What is the value of 2¹⁴? =
  36. 36.What is the value of 4⁻³ (as a fraction)? =
  37. 37.5.8 × 10³ =
  38. 38.What is the value of 6⁻¹ (as a fraction)? =
  39. 39.Write 6.3 × 10⁻⁴ as a decimal. =
  40. 40.Write 6⁶ × 6⁷ as a single power 6ⁿ. What is n?

Answer key

  1. 6
  2. 15625
  3. 4
  4. 0.012
  5. 0.35
  6. 9
  7. 65536
  8. 59049
  9. 1/7
  10. 5
  11. 3
  12. 2
  13. 3
  14. 63
  15. 10
  16. 0.16
  17. 1000
  18. 2048
  19. 1/3
  20. 0.0032
  21. 6561
  22. 8
  23. 28
  24. 4/3
  25. 1/4
  26. 256
  27. 27
  28. 6
  29. 26000
  30. 2
  31. 2
  32. 16
  33. 5000
  34. 1/2
  35. 16384
  36. 1/64
  37. 5800
  38. 1/6
  39. 0.00063
  40. 13

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