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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 51 · 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. 1.1.7 × 10² =
  2. 2.What is the value of 2³ × 2⁻¹? =
  3. 3.Write 6² × 6⁶ as a single power 6ⁿ. What is n?
  4. 4.What is the value of 2⁵ × 2⁻⁶? =
  5. 5.What is the value of 10¹ × 10⁻⁶? =
  6. 6.Write 7¹⁰ ÷ 7⁶ as a single power 7ⁿ. What is n?
  7. 7.Write 570 in standard form as 5.7 × 10ⁿ. What is n?
  8. 8.Write (9⁷)² as a single power 9ⁿ. What is n?
  9. 9.What is the value of 10² × 10⁻¹? =
  10. 10.Write 6.1 × 10⁻² as a decimal. =
  11. 11.Write 2.8 × 10⁻¹ as a decimal. =
  12. 12.Write 2.6 × 10⁻¹ as a decimal. =
  13. 13.3.1 × 10⁶ =
  14. 14.What is the value of (3/7)⁻²? =
  15. 15.Write (6⁴)⁴ as a single power 6ⁿ. What is n?
  16. 16.What is the value of 2¹⁰? =
  17. 17.What is the value of 10⁴? =
  18. 18.Write (6⁹)³ as a single power 6ⁿ. What is n?
  19. 19.What is the value of 4⁻¹ (as a fraction)? =
  20. 20.What is the value of 4⁶? =
  21. 21.What is the value of 2⁶? =
  22. 22.6 × 10⁶ =
  23. 23.Write 4⁷ ÷ 4⁴ as a single power 4ⁿ. What is n?
  24. 24.What is the value of 2² × 2⁻¹? =
  25. 25.What is the value of 3⁵? =
  26. 26.What is the value of 10⁻³ (as a fraction)? =
  27. 27.What is the value of 5⁴? =
  28. 28.What is the value of 10⁴ × 10⁻²? =
  29. 29.Write 7.8 × 10⁻⁴ as a decimal. =
  30. 30.Write 5.6 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of (1/3)⁻¹? =
  32. 32.What is the value of 7⁴? =
  33. 33.What is the value of 9⁻² (as a fraction)? =
  34. 34.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  35. 35.Write 1.2 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 3⁴ × 3⁻³? =
  37. 37.What is the value of 3⁵ × 3⁻¹? =
  38. 38.3.3 × 10⁴ =
  39. 39.Write 8,300 in standard form as 8.3 × 10ⁿ. What is n?
  40. 40.What is the value of 2⁸? =

Answer key

  1. 170
  2. 4
  3. 8
  4. 1/2
  5. 1/100000
  6. 4
  7. 2
  8. 14
  9. 10
  10. 0.061
  11. 0.28
  12. 0.26
  13. 3100000
  14. 49/9
  15. 16
  16. 1024
  17. 10000
  18. 27
  19. 1/4
  20. 4096
  21. 64
  22. 6000000
  23. 3
  24. 2
  25. 243
  26. 1/1000
  27. 625
  28. 100
  29. 0.00078
  30. 0.00056
  31. 3
  32. 2401
  33. 1/81
  34. 2
  35. 0.00012
  36. 3
  37. 81
  38. 33000
  39. 3
  40. 256

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