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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 707 · 40 sums
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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.Write 5.3 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of 2¹⁴? =
  3. 3.What is the value of (1/7)⁻¹? =
  4. 4.What is the value of 8⁵? =
  5. 5.What is the value of (2/5)⁻¹? =
  6. 6.Write 1.1 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 6³? =
  8. 8.What is the value of 5⁶ × 5⁻⁴? =
  9. 9.What is the value of (1/7)⁻²? =
  10. 10.Write (7²)⁹ as a single power 7ⁿ. What is n?
  11. 11.Write 1.3 × 10⁻³ as a decimal. =
  12. 12.What is the value of 3³ × 3⁻²? =
  13. 13.What is the value of 7⁻¹ (as a fraction)? =
  14. 14.Write 5.7 × 10⁻¹ as a decimal. =
  15. 15.9.9 × 10⁵ =
  16. 16.What is the value of 5⁶ × 5⁻¹? =
  17. 17.Write 920 in standard form as 9.2 × 10ⁿ. What is n?
  18. 18.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
  19. 19.What is the value of 2¹⁵? =
  20. 20.What is the value of 10⁵ × 10⁻⁵? =
  21. 21.Write 3.4 × 10⁻⁴ as a decimal. =
  22. 22.Write (3²)⁴ as a single power 3ⁿ. What is n?
  23. 23.1.4 × 10⁶ =
  24. 24.Write 530 in standard form as 5.3 × 10ⁿ. What is n?
  25. 25.Write (3³)⁵ as a single power 3ⁿ. What is n?
  26. 26.What is the value of (5/8)⁻²? =
  27. 27.What is the value of 5² × 5⁻³? =
  28. 28.Write 5¹¹ ÷ 5⁷ as a single power 5ⁿ. What is n?
  29. 29.Write 3 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 2¹⁰? =
  31. 31.Write 9⁸ × 9⁸ as a single power 9ⁿ. What is n?
  32. 32.What is the value of (5/7)⁻¹? =
  33. 33.Write 7¹¹ ÷ 7² as a single power 7ⁿ. What is n?
  34. 34.What is the value of 7²? =
  35. 35.What is the value of (7/9)⁻¹? =
  36. 36.Write 1.5 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 2¹⁶? =
  38. 38.What is the value of (3/7)⁻¹? =
  39. 39.Write 5² × 5⁸ as a single power 5ⁿ. What is n?
  40. 40.What is the value of 9⁵? =

Answer key

  1. 0.00053
  2. 16384
  3. 7
  4. 32768
  5. 5/2
  6. 0.11
  7. 216
  8. 25
  9. 49
  10. 18
  11. 0.0013
  12. 3
  13. 1/7
  14. 0.57
  15. 990000
  16. 3125
  17. 2
  18. 6
  19. 32768
  20. 1
  21. 0.00034
  22. 8
  23. 1400000
  24. 2
  25. 15
  26. 64/25
  27. 1/5
  28. 4
  29. 0.0003
  30. 1024
  31. 16
  32. 7/5
  33. 9
  34. 49
  35. 9/7
  36. 0.00015
  37. 65536
  38. 7/3
  39. 10
  40. 59049

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