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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 856 · 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 4⁷ × 4⁹ as a single power 4ⁿ. What is n?
  2. 2.8.7 × 10⁷ =
  3. 3.Write 5,50,000 in standard form as 5.5 × 10ⁿ. What is n?
  4. 4.What is the value of 5¹ × 5⁻³? =
  5. 5.What is the value of 3³? =
  6. 6.What is the value of 9⁻¹ (as a fraction)? =
  7. 7.What is the value of 5⁵ × 5⁻⁶? =
  8. 8.Write (5³)⁵ as a single power 5ⁿ. What is n?
  9. 9.Write 7⁶ × 7³ as a single power 7ⁿ. What is n?
  10. 10.What is the value of 5³? =
  11. 11.What is the value of 7⁵? =
  12. 12.Write 1.9 × 10⁻¹ as a decimal. =
  13. 13.Write 12,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  14. 14.2 × 10² =
  15. 15.Write 3.4 × 10⁻⁴ as a decimal. =
  16. 16.Write 4.6 × 10⁻² as a decimal. =
  17. 17.What is the value of 2⁸? =
  18. 18.Write 1.8 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 2² × 2⁻³? =
  20. 20.What is the value of 3⁴ × 3⁻¹? =
  21. 21.Write (8⁸)⁷ as a single power 8ⁿ. What is n?
  22. 22.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  23. 23.Write 960 in standard form as 9.6 × 10ⁿ. What is n?
  24. 24.Write (8⁴)⁹ as a single power 8ⁿ. What is n?
  25. 25.Write 2⁷ × 2³ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 10³? =
  27. 27.Write 7.9 × 10⁻⁴ as a decimal. =
  28. 28.Write 9,60,00,000 in standard form as 9.6 × 10ⁿ. What is n?
  29. 29.Write 2 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 10⁵? =
  31. 31.What is the value of 2⁷? =
  32. 32.Write 7¹¹ ÷ 7² as a single power 7ⁿ. What is n?
  33. 33.What is the value of (4/7)⁻²? =
  34. 34.7 × 10² =
  35. 35.Write 2¹⁶ ÷ 2⁹ as a single power 2ⁿ. What is n?
  36. 36.7.3 × 10⁴ =
  37. 37.What is the value of (5/8)⁻¹? =
  38. 38.Write 5.5 × 10⁻¹ as a decimal. =
  39. 39.Write 88,00,000 in standard form as 8.8 × 10ⁿ. What is n?
  40. 40.Write 270 in standard form as 2.7 × 10ⁿ. What is n?

Answer key

  1. 16
  2. 87000000
  3. 5
  4. 1/25
  5. 27
  6. 1/9
  7. 1/5
  8. 15
  9. 9
  10. 125
  11. 16807
  12. 0.19
  13. 6
  14. 200
  15. 0.00034
  16. 0.046
  17. 256
  18. 0.18
  19. 1/2
  20. 27
  21. 56
  22. 6
  23. 2
  24. 36
  25. 10
  26. 1000
  27. 0.00079
  28. 7
  29. 0.2
  30. 100000
  31. 128
  32. 9
  33. 49/16
  34. 700
  35. 7
  36. 73000
  37. 8/5
  38. 0.55
  39. 6
  40. 2

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