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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 608 · 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 2³ × 2⁻²? =
  2. 2.Write 3⁹ ÷ 3³ as a single power 3ⁿ. What is n?
  3. 3.What is the value of 2⁴ × 2⁻⁴? =
  4. 4.What is the value of 5⁴? =
  5. 5.Write 3.1 × 10⁻² as a decimal. =
  6. 6.Write 3⁸ × 3⁷ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 9⁵? =
  8. 8.What is the value of 5²? =
  9. 9.Write 1.6 × 10⁻³ as a decimal. =
  10. 10.Write 64,000 in standard form as 6.4 × 10ⁿ. What is n?
  11. 11.What is the value of 2⁵? =
  12. 12.What is the value of 2¹⁴? =
  13. 13.What is the value of 2¹¹? =
  14. 14.What is the value of 2¹³? =
  15. 15.What is the value of 2⁻² (as a fraction)? =
  16. 16.5.3 × 10³ =
  17. 17.Write 3.8 × 10⁻³ as a decimal. =
  18. 18.Write 4.4 × 10⁻³ as a decimal. =
  19. 19.What is the value of 2² × 2⁻³? =
  20. 20.What is the value of (2/7)⁻²? =
  21. 21.What is the value of 3¹ × 3⁻⁴? =
  22. 22.Write (3⁷)² as a single power 3ⁿ. What is n?
  23. 23.What is the value of 3⁻³ (as a fraction)? =
  24. 24.What is the value of 2⁻⁸ (as a fraction)? =
  25. 25.What is the value of 2³ × 2⁻⁵? =
  26. 26.What is the value of 2³ × 2⁻⁴? =
  27. 27.What is the value of 3⁷? =
  28. 28.Write 1.5 × 10⁻³ as a decimal. =
  29. 29.What is the value of 6⁵? =
  30. 30.What is the value of 5² × 5⁻⁶? =
  31. 31.What is the value of 7²? =
  32. 32.What is the value of 2¹ × 2⁻⁴? =
  33. 33.Write (4³)⁴ as a single power 4ⁿ. What is n?
  34. 34.Write 7⁶ × 7⁷ as a single power 7ⁿ. What is n?
  35. 35.What is the value of 2⁷? =
  36. 36.Write 5¹⁴ ÷ 5⁵ as a single power 5ⁿ. What is n?
  37. 37.What is the value of 3⁻⁵ (as a fraction)? =
  38. 38.What is the value of 4⁷? =
  39. 39.Write 9 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of (2/9)⁻²? =

Answer key

  1. 2
  2. 6
  3. 1
  4. 625
  5. 0.031
  6. 15
  7. 59049
  8. 25
  9. 0.0016
  10. 4
  11. 32
  12. 16384
  13. 2048
  14. 8192
  15. 1/4
  16. 5300
  17. 0.0038
  18. 0.0044
  19. 1/2
  20. 49/4
  21. 1/27
  22. 14
  23. 1/27
  24. 1/256
  25. 1/4
  26. 1/2
  27. 2187
  28. 0.0015
  29. 7776
  30. 1/625
  31. 49
  32. 1/8
  33. 12
  34. 13
  35. 128
  36. 9
  37. 1/243
  38. 16384
  39. 0.0009
  40. 81/4

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