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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 825 · 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 × 2⁻⁶? =
  2. 2.Write 6⁴ × 6⁷ as a single power 6ⁿ. What is n?
  3. 3.Write 6.6 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 2¹ × 2⁻⁶? =
  5. 5.Write 2.8 × 10⁻² as a decimal. =
  6. 6.What is the value of 4⁻⁴ (as a fraction)? =
  7. 7.What is the value of 3⁶? =
  8. 8.Write 3⁸ ÷ 3³ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 4⁸? =
  10. 10.What is the value of 10¹ × 10⁻¹? =
  11. 11.Write 7⁸ ÷ 7³ as a single power 7ⁿ. What is n?
  12. 12.Write 47,00,000 in standard form as 4.7 × 10ⁿ. What is n?
  13. 13.Write (2⁶)³ as a single power 2ⁿ. What is n?
  14. 14.What is the value of 10²? =
  15. 15.Write 6³ × 6⁵ as a single power 6ⁿ. What is n?
  16. 16.What is the value of (3/8)⁻²? =
  17. 17.1.6 × 10² =
  18. 18.Write (2⁶)⁷ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 2⁻¹ (as a fraction)? =
  20. 20.What is the value of 9⁴? =
  21. 21.What is the value of (7/9)⁻²? =
  22. 22.Write 8.4 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 5³ × 5⁻¹? =
  24. 24.Write 28,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  25. 25.What is the value of (1/7)⁻¹? =
  26. 26.What is the value of (3/5)⁻²? =
  27. 27.Write 9⁸ ÷ 9⁴ as a single power 9ⁿ. What is n?
  28. 28.Write (8⁶)⁴ as a single power 8ⁿ. What is n?
  29. 29.Write 9.2 × 10⁻³ as a decimal. =
  30. 30.Write 1.8 × 10⁻¹ as a decimal. =
  31. 31.Write (6³)² as a single power 6ⁿ. What is n?
  32. 32.Write 3⁷ × 3⁶ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 2¹¹? =
  34. 34.Write 5,50,000 in standard form as 5.5 × 10ⁿ. What is n?
  35. 35.Write 2.2 × 10⁻⁴ as a decimal. =
  36. 36.Write 4⁴ ÷ 4² as a single power 4ⁿ. What is n?
  37. 37.What is the value of 3² × 3⁻⁵? =
  38. 38.Write 5¹² ÷ 5⁴ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 3⁻² (as a fraction)? =
  40. 40.Write 1,80,000 in standard form as 1.8 × 10ⁿ. What is n?

Answer key

  1. 1/8
  2. 11
  3. 0.66
  4. 1/32
  5. 0.028
  6. 1/256
  7. 729
  8. 5
  9. 65536
  10. 1
  11. 5
  12. 6
  13. 18
  14. 100
  15. 8
  16. 64/9
  17. 160
  18. 42
  19. 1/2
  20. 6561
  21. 81/49
  22. 0.00084
  23. 25
  24. 6
  25. 7
  26. 25/9
  27. 4
  28. 24
  29. 0.0092
  30. 0.18
  31. 6
  32. 13
  33. 2048
  34. 5
  35. 0.00022
  36. 2
  37. 1/27
  38. 8
  39. 1/9
  40. 5

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