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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 629 · 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 7⁸ ÷ 7⁴ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 2⁶? =
  3. 3.Write 9.8 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 5⁴ × 5⁻¹? =
  5. 5.What is the value of 10⁵ × 10⁻²? =
  6. 6.Write 1.7 × 10⁻² as a decimal. =
  7. 7.What is the value of (1/9)⁻²? =
  8. 8.What is the value of 5⁶? =
  9. 9.Write 4⁴ × 4⁶ as a single power 4ⁿ. What is n?
  10. 10.What is the value of (1/2)⁻²? =
  11. 11.Write 7⁵ × 7⁸ as a single power 7ⁿ. What is n?
  12. 12.6.9 × 10⁵ =
  13. 13.Write 4 × 10⁻¹ as a decimal. =
  14. 14.What is the value of (2/5)⁻¹? =
  15. 15.What is the value of (1/4)⁻¹? =
  16. 16.What is the value of (1/3)⁻¹? =
  17. 17.What is the value of 10⁻³ (as a fraction)? =
  18. 18.What is the value of 3³ × 3⁻⁴? =
  19. 19.What is the value of 7³? =
  20. 20.Write 9.8 × 10⁻⁴ as a decimal. =
  21. 21.Write 5.3 × 10⁻³ as a decimal. =
  22. 22.What is the value of 6²? =
  23. 23.Write 4.3 × 10⁻² as a decimal. =
  24. 24.Write 3³ × 3⁸ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 6⁴? =
  26. 26.What is the value of 3⁵ × 3⁻¹? =
  27. 27.Write 4.8 × 10⁻² as a decimal. =
  28. 28.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  29. 29.Write 3.8 × 10⁻¹ as a decimal. =
  30. 30.What is the value of (3/8)⁻¹? =
  31. 31.8.1 × 10⁴ =
  32. 32.What is the value of (2/3)⁻¹? =
  33. 33.What is the value of 5²? =
  34. 34.Write (8⁶)⁷ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 7⁵? =
  36. 36.Write 7,10,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  37. 37.What is the value of (3/4)⁻²? =
  38. 38.What is the value of 10⁵ × 10⁻⁵? =
  39. 39.What is the value of 10⁴? =
  40. 40.Write (7⁹)⁷ as a single power 7ⁿ. What is n?

Answer key

  1. 4
  2. 64
  3. 0.98
  4. 125
  5. 1000
  6. 0.017
  7. 81
  8. 15625
  9. 10
  10. 4
  11. 13
  12. 690000
  13. 0.4
  14. 5/2
  15. 4
  16. 3
  17. 1/1000
  18. 1/3
  19. 343
  20. 0.00098
  21. 0.0053
  22. 36
  23. 0.043
  24. 11
  25. 1296
  26. 81
  27. 0.048
  28. 8
  29. 0.38
  30. 8/3
  31. 81000
  32. 3/2
  33. 25
  34. 42
  35. 16807
  36. 7
  37. 16/9
  38. 1
  39. 10000
  40. 63

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