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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 901 · 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. 1.7.9 × 10⁴ =
  2. 2.What is the value of 3⁸? =
  3. 3.Write 3¹¹ ÷ 3⁸ as a single power 3ⁿ. What is n?
  4. 4.Write (3⁸)³ as a single power 3ⁿ. What is n?
  5. 5.Write 3.4 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 2⁴? =
  7. 7.Write 7⁸ ÷ 7⁵ as a single power 7ⁿ. What is n?
  8. 8.What is the value of 10⁶ × 10⁻³? =
  9. 9.What is the value of 2⁻¹ (as a fraction)? =
  10. 10.What is the value of 2³ × 2⁻⁴? =
  11. 11.What is the value of 3¹⁰? =
  12. 12.What is the value of 6⁻³ (as a fraction)? =
  13. 13.What is the value of 5¹ × 5⁻⁴? =
  14. 14.Write 6 × 10⁻¹ as a decimal. =
  15. 15.What is the value of (4/9)⁻¹? =
  16. 16.What is the value of 3² × 3⁻⁴? =
  17. 17.What is the value of 3¹ × 3⁻³? =
  18. 18.What is the value of 10¹ × 10⁻⁶? =
  19. 19.Write 5⁴ × 5³ as a single power 5ⁿ. What is n?
  20. 20.8.4 × 10⁶ =
  21. 21.What is the value of 2⁵ × 2⁻¹? =
  22. 22.Write 93,000 in standard form as 9.3 × 10ⁿ. What is n?
  23. 23.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  24. 24.9.4 × 10⁵ =
  25. 25.What is the value of 10³? =
  26. 26.What is the value of 7⁻² (as a fraction)? =
  27. 27.Write 9,30,00,000 in standard form as 9.3 × 10ⁿ. What is n?
  28. 28.Write 5⁹ ÷ 5³ as a single power 5ⁿ. What is n?
  29. 29.Write 1.7 × 10⁻³ as a decimal. =
  30. 30.What is the value of 4⁻³ (as a fraction)? =
  31. 31.Write 7⁸ × 7⁶ as a single power 7ⁿ. What is n?
  32. 32.Write 3.1 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 3⁶? =
  34. 34.What is the value of (4/5)⁻²? =
  35. 35.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
  36. 36.Write (7³)⁸ as a single power 7ⁿ. What is n?
  37. 37.Write 5.6 × 10⁻⁴ as a decimal. =
  38. 38.Write 930 in standard form as 9.3 × 10ⁿ. What is n?
  39. 39.Write (3⁴)³ as a single power 3ⁿ. What is n?
  40. 40.What is the value of 5⁴? =

Answer key

  1. 79000
  2. 6561
  3. 3
  4. 24
  5. 0.00034
  6. 16
  7. 3
  8. 1000
  9. 1/2
  10. 1/2
  11. 59049
  12. 1/216
  13. 1/125
  14. 0.6
  15. 9/4
  16. 1/9
  17. 1/9
  18. 1/100000
  19. 7
  20. 8400000
  21. 16
  22. 4
  23. 7
  24. 940000
  25. 1000
  26. 1/49
  27. 7
  28. 6
  29. 0.0017
  30. 1/64
  31. 14
  32. 0.31
  33. 729
  34. 25/16
  35. 7
  36. 24
  37. 0.00056
  38. 2
  39. 12
  40. 625

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