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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 401 · 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 2⁵? =
  2. 2.What is the value of 6²? =
  3. 3.Write 550 in standard form as 5.5 × 10ⁿ. What is n?
  4. 4.What is the value of 3⁴ × 3⁻³? =
  5. 5.Write (8⁷)⁵ as a single power 8ⁿ. What is n?
  6. 6.Write 9⁷ × 9⁶ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 2³? =
  8. 8.Write 2.5 × 10⁻² as a decimal. =
  9. 9.What is the value of 6⁻² (as a fraction)? =
  10. 10.What is the value of 10² × 10⁻¹? =
  11. 11.What is the value of 5⁴? =
  12. 12.Write 4¹⁴ ÷ 4⁶ as a single power 4ⁿ. What is n?
  13. 13.Write 3,400 in standard form as 3.4 × 10ⁿ. What is n?
  14. 14.What is the value of 2⁻⁶ (as a fraction)? =
  15. 15.Write 1.9 × 10⁻³ as a decimal. =
  16. 16.Write 2.4 × 10⁻³ as a decimal. =
  17. 17.Write 820 in standard form as 8.2 × 10ⁿ. What is n?
  18. 18.Write 2,00,00,000 in standard form as 2 × 10ⁿ. What is n?
  19. 19.What is the value of 7³? =
  20. 20.What is the value of (4/5)⁻¹? =
  21. 21.Write 9⁸ × 9⁸ as a single power 9ⁿ. What is n?
  22. 22.What is the value of 7⁻² (as a fraction)? =
  23. 23.What is the value of 5³? =
  24. 24.What is the value of 2⁶? =
  25. 25.3.7 × 10⁷ =
  26. 26.What is the value of (1/9)⁻¹? =
  27. 27.What is the value of 3⁴? =
  28. 28.What is the value of 2⁹? =
  29. 29.Write 2.6 × 10⁻⁴ as a decimal. =
  30. 30.Write 3.1 × 10⁻⁴ as a decimal. =
  31. 31.Write 3.2 × 10⁻³ as a decimal. =
  32. 32.What is the value of 3⁶ × 3⁻⁵? =
  33. 33.What is the value of 4³? =
  34. 34.Write 9 × 10⁻³ as a decimal. =
  35. 35.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
  36. 36.Write (6⁷)⁵ as a single power 6ⁿ. What is n?
  37. 37.Write (7²)³ as a single power 7ⁿ. What is n?
  38. 38.What is the value of 8⁵? =
  39. 39.Write (9⁴)⁹ as a single power 9ⁿ. What is n?
  40. 40.Write 6.1 × 10⁻² as a decimal. =

Answer key

  1. 32
  2. 36
  3. 2
  4. 3
  5. 35
  6. 13
  7. 8
  8. 0.025
  9. 1/36
  10. 10
  11. 625
  12. 8
  13. 3
  14. 1/64
  15. 0.0019
  16. 0.0024
  17. 2
  18. 7
  19. 343
  20. 5/4
  21. 16
  22. 1/49
  23. 125
  24. 64
  25. 37000000
  26. 9
  27. 81
  28. 512
  29. 0.00026
  30. 0.00031
  31. 0.0032
  32. 3
  33. 64
  34. 0.009
  35. 48
  36. 35
  37. 6
  38. 32768
  39. 36
  40. 0.061

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