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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 994 · 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 2¹ × 2⁻⁵? =
  2. 2.3.4 × 10⁶ =
  3. 3.Write (3⁷)⁶ as a single power 3ⁿ. What is n?
  4. 4.Write 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  5. 5.Write 3.2 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 3⁶ × 3⁻¹? =
  7. 7.What is the value of (1/5)⁻²? =
  8. 8.Write 5⁷ × 5⁶ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 2⁷? =
  10. 10.Write 9.1 × 10⁻¹ as a decimal. =
  11. 11.Write 4⁹ × 4⁴ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 5² × 5⁻⁶? =
  13. 13.Write 5¹⁵ ÷ 5⁸ as a single power 5ⁿ. What is n?
  14. 14.What is the value of 3⁶ × 3⁻⁶? =
  15. 15.Write 6⁴ × 6⁵ as a single power 6ⁿ. What is n?
  16. 16.Write 3² × 3³ as a single power 3ⁿ. What is n?
  17. 17.8 × 10⁷ =
  18. 18.Write 820 in standard form as 8.2 × 10ⁿ. What is n?
  19. 19.What is the value of 3² × 3⁻⁵? =
  20. 20.Write 8.4 × 10⁻² as a decimal. =
  21. 21.Write (4⁴)⁶ as a single power 4ⁿ. What is n?
  22. 22.Write (9⁸)⁸ as a single power 9ⁿ. What is n?
  23. 23.What is the value of 10¹ × 10⁻⁶? =
  24. 24.What is the value of 3⁶? =
  25. 25.What is the value of 4²? =
  26. 26.8.3 × 10⁵ =
  27. 27.Write 9¹¹ ÷ 9⁵ as a single power 9ⁿ. What is n?
  28. 28.Write 4.3 × 10⁻³ as a decimal. =
  29. 29.Write 4.9 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 2⁻⁵ (as a fraction)? =
  31. 31.3.2 × 10² =
  32. 32.Write 610 in standard form as 6.1 × 10ⁿ. What is n?
  33. 33.1.8 × 10² =
  34. 34.What is the value of 3⁶ × 3⁻³? =
  35. 35.What is the value of 2² × 2⁻²? =
  36. 36.What is the value of 5⁵? =
  37. 37.Write 9² × 9⁹ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 8⁻¹ (as a fraction)? =
  39. 39.What is the value of 5⁴? =
  40. 40.What is the value of 6⁶? =

Answer key

  1. 1/16
  2. 3400000
  3. 42
  4. 3
  5. 0.32
  6. 243
  7. 25
  8. 13
  9. 128
  10. 0.91
  11. 13
  12. 1/625
  13. 7
  14. 1
  15. 9
  16. 5
  17. 80000000
  18. 2
  19. 1/27
  20. 0.084
  21. 24
  22. 64
  23. 1/100000
  24. 729
  25. 16
  26. 830000
  27. 6
  28. 0.0043
  29. 0.49
  30. 1/32
  31. 320
  32. 2
  33. 180
  34. 27
  35. 1
  36. 3125
  37. 11
  38. 1/8
  39. 625
  40. 46656

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