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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 528 · 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 6⁵? =
  2. 2.Write 8.4 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 2¹⁰? =
  4. 4.Write 30,00,000 in standard form as 3 × 10ⁿ. What is n?
  5. 5.Write 2⁶ × 2⁶ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 6²? =
  7. 7.What is the value of 4³? =
  8. 8.What is the value of 3¹ × 3⁻²? =
  9. 9.What is the value of 3¹ × 3⁻³? =
  10. 10.What is the value of 2⁴? =
  11. 11.What is the value of 2² × 2⁻³? =
  12. 12.3.5 × 10³ =
  13. 13.Write 2¹⁰ ÷ 2⁴ as a single power 2ⁿ. What is n?
  14. 14.Write 5.1 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 2²? =
  16. 16.Write 8⁷ ÷ 8⁴ as a single power 8ⁿ. What is n?
  17. 17.What is the value of 2² × 2⁻¹? =
  18. 18.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 5⁴ × 5⁻²? =
  20. 20.Write 1.9 × 10⁻¹ as a decimal. =
  21. 21.What is the value of (3/4)⁻¹? =
  22. 22.1.6 × 10⁶ =
  23. 23.What is the value of (5/7)⁻¹? =
  24. 24.What is the value of 3⁻⁶ (as a fraction)? =
  25. 25.What is the value of 2⁵ × 2⁻¹? =
  26. 26.9 × 10² =
  27. 27.What is the value of 5⁴ × 5⁻⁴? =
  28. 28.What is the value of 8²? =
  29. 29.What is the value of 2⁻³ (as a fraction)? =
  30. 30.What is the value of (5/8)⁻²? =
  31. 31.What is the value of (3/7)⁻¹? =
  32. 32.What is the value of 3⁴? =
  33. 33.Write 3,50,000 in standard form as 3.5 × 10ⁿ. What is n?
  34. 34.What is the value of (1/4)⁻²? =
  35. 35.What is the value of 5⁻³ (as a fraction)? =
  36. 36.Write 1.6 × 10⁻³ as a decimal. =
  37. 37.What is the value of 2⁷? =
  38. 38.What is the value of 5⁴? =
  39. 39.Write 3⁸ × 3⁷ as a single power 3ⁿ. What is n?
  40. 40.What is the value of 6⁻¹ (as a fraction)? =

Answer key

  1. 7776
  2. 0.84
  3. 1024
  4. 6
  5. 12
  6. 36
  7. 64
  8. 1/3
  9. 1/9
  10. 16
  11. 1/2
  12. 3500
  13. 6
  14. 0.51
  15. 4
  16. 3
  17. 2
  18. 15
  19. 25
  20. 0.19
  21. 4/3
  22. 1600000
  23. 7/5
  24. 1/729
  25. 16
  26. 900
  27. 1
  28. 64
  29. 1/8
  30. 64/25
  31. 7/3
  32. 81
  33. 5
  34. 16
  35. 1/125
  36. 0.0016
  37. 128
  38. 625
  39. 15
  40. 1/6

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