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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 947 · 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.What is the value of (2/7)⁻²? =
  2. 2.Write 6⁵ × 6⁴ as a single power 6ⁿ. What is n?
  3. 3.Write 3.1 × 10⁻² as a decimal. =
  4. 4.What is the value of 5⁴ × 5⁻²? =
  5. 5.Write 7² × 7⁷ as a single power 7ⁿ. What is n?
  6. 6.9.6 × 10² =
  7. 7.Write 6¹⁷ ÷ 6⁸ as a single power 6ⁿ. What is n?
  8. 8.Write 320 in standard form as 3.2 × 10ⁿ. What is n?
  9. 9.What is the value of 2⁵? =
  10. 10.What is the value of 3⁸? =
  11. 11.What is the value of 5¹ × 5⁻⁶? =
  12. 12.Write 1.5 × 10⁻³ as a decimal. =
  13. 13.Write 5,500 in standard form as 5.5 × 10ⁿ. What is n?
  14. 14.Write 9.6 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 5⁻⁴ (as a fraction)? =
  16. 16.Write (8⁹)⁸ as a single power 8ⁿ. What is n?
  17. 17.What is the value of 2¹¹? =
  18. 18.What is the value of 9⁵? =
  19. 19.What is the value of 2¹⁰? =
  20. 20.Write 9⁸ ÷ 9³ as a single power 9ⁿ. What is n?
  21. 21.4.3 × 10² =
  22. 22.Write 7³ × 7⁵ as a single power 7ⁿ. What is n?
  23. 23.Write 8,70,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  24. 24.What is the value of 10² × 10⁻³? =
  25. 25.What is the value of 10² × 10⁻⁵? =
  26. 26.What is the value of (1/7)⁻²? =
  27. 27.What is the value of 4⁻⁴ (as a fraction)? =
  28. 28.3.8 × 10⁴ =
  29. 29.Write 3.8 × 10⁻² as a decimal. =
  30. 30.What is the value of 8⁴? =
  31. 31.What is the value of 2³ × 2⁻³? =
  32. 32.Write 2.6 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 2¹ × 2⁻³? =
  34. 34.What is the value of 2⁻⁴ (as a fraction)? =
  35. 35.What is the value of 5⁵ × 5⁻⁵? =
  36. 36.Write 5.8 × 10⁻³ as a decimal. =
  37. 37.4.7 × 10⁵ =
  38. 38.Write 8.7 × 10⁻³ as a decimal. =
  39. 39.What is the value of 2⁷? =
  40. 40.Write 6⁶ × 6⁴ as a single power 6ⁿ. What is n?

Answer key

  1. 49/4
  2. 9
  3. 0.031
  4. 25
  5. 9
  6. 960
  7. 9
  8. 2
  9. 32
  10. 6561
  11. 1/3125
  12. 0.0015
  13. 3
  14. 0.96
  15. 1/625
  16. 72
  17. 2048
  18. 59049
  19. 1024
  20. 5
  21. 430
  22. 8
  23. 7
  24. 1/10
  25. 1/1000
  26. 49
  27. 1/256
  28. 38000
  29. 0.038
  30. 4096
  31. 1
  32. 0.26
  33. 1/4
  34. 1/16
  35. 1
  36. 0.0058
  37. 470000
  38. 0.0087
  39. 128
  40. 10

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