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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 303 · 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.Write 720 in standard form as 7.2 × 10ⁿ. What is n?
  2. 2.Write (2⁹)⁷ as a single power 2ⁿ. What is n?
  3. 3.Write (6⁶)² as a single power 6ⁿ. What is n?
  4. 4.What is the value of 5³? =
  5. 5.Write 6.5 × 10⁻² as a decimal. =
  6. 6.Write 8¹² ÷ 8⁴ as a single power 8ⁿ. What is n?
  7. 7.Write 5.5 × 10⁻³ as a decimal. =
  8. 8.Write (5⁶)⁹ as a single power 5ⁿ. What is n?
  9. 9.What is the value of (1/8)⁻¹? =
  10. 10.Write 6.8 × 10⁻⁴ as a decimal. =
  11. 11.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 3⁻⁶ (as a fraction)? =
  13. 13.7.5 × 10² =
  14. 14.What is the value of 3³ × 3⁻⁶? =
  15. 15.What is the value of 3³? =
  16. 16.Write 1,20,000 in standard form as 1.2 × 10ⁿ. What is n?
  17. 17.Write 7.7 × 10⁻¹ as a decimal. =
  18. 18.Write 2.7 × 10⁻³ as a decimal. =
  19. 19.What is the value of 10⁴ × 10⁻³? =
  20. 20.What is the value of 5² × 5⁻³? =
  21. 21.What is the value of 10⁻¹ (as a fraction)? =
  22. 22.Write 7¹¹ ÷ 7⁷ as a single power 7ⁿ. What is n?
  23. 23.What is the value of 3⁴ × 3⁻¹? =
  24. 24.Write 9 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 2⁷? =
  26. 26.What is the value of (8/9)⁻²? =
  27. 27.Write 1.7 × 10⁻¹ as a decimal. =
  28. 28.Write 9.2 × 10⁻³ as a decimal. =
  29. 29.Write 7² × 7² as a single power 7ⁿ. What is n?
  30. 30.What is the value of 3⁻⁵ (as a fraction)? =
  31. 31.Write 9,80,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  32. 32.Write (8⁴)⁸ as a single power 8ⁿ. What is n?
  33. 33.Write 8⁴ × 8⁹ as a single power 8ⁿ. What is n?
  34. 34.What is the value of (2/3)⁻¹? =
  35. 35.What is the value of 5⁶? =
  36. 36.Write 92,00,000 in standard form as 9.2 × 10ⁿ. What is n?
  37. 37.What is the value of 5² × 5⁻⁶? =
  38. 38.Write 9¹⁴ ÷ 9⁸ as a single power 9ⁿ. What is n?
  39. 39.Write 4.6 × 10⁻² as a decimal. =
  40. 40.What is the value of 7⁻¹ (as a fraction)? =

Answer key

  1. 2
  2. 63
  3. 12
  4. 125
  5. 0.065
  6. 8
  7. 0.0055
  8. 54
  9. 8
  10. 0.00068
  11. 12
  12. 1/729
  13. 750
  14. 1/27
  15. 27
  16. 5
  17. 0.77
  18. 0.0027
  19. 10
  20. 1/5
  21. 1/10
  22. 4
  23. 27
  24. 0.0009
  25. 128
  26. 81/64
  27. 0.17
  28. 0.0092
  29. 4
  30. 1/243
  31. 7
  32. 32
  33. 13
  34. 3/2
  35. 15625
  36. 6
  37. 1/625
  38. 6
  39. 0.046
  40. 1/7

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