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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 983 · 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 4⁶ ÷ 4² as a single power 4ⁿ. What is n?
  2. 2.What is the value of 6⁻² (as a fraction)? =
  3. 3.1.1 × 10⁷ =
  4. 4.Write 5.5 × 10⁻⁴ as a decimal. =
  5. 5.Write 130 in standard form as 1.3 × 10ⁿ. What is n?
  6. 6.What is the value of 5⁵ × 5⁻⁶? =
  7. 7.Write 9.9 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 6⁻¹ (as a fraction)? =
  9. 9.What is the value of (1/5)⁻²? =
  10. 10.What is the value of 3⁶? =
  11. 11.Write 8.1 × 10⁻¹ as a decimal. =
  12. 12.Write 1.9 × 10⁻² as a decimal. =
  13. 13.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?
  14. 14.What is the value of 4⁻⁴ (as a fraction)? =
  15. 15.Write (4⁷)³ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 2⁷? =
  17. 17.Write 1.2 × 10⁻² as a decimal. =
  18. 18.Write 5¹³ ÷ 5⁸ as a single power 5ⁿ. What is n?
  19. 19.What is the value of 10⁴ × 10⁻⁵? =
  20. 20.What is the value of 2⁵? =
  21. 21.Write 3⁷ × 3⁷ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 2¹ × 2⁻¹? =
  23. 23.Write 7.4 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of (8/9)⁻¹? =
  25. 25.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  26. 26.Write 2⁶ ÷ 2³ as a single power 2ⁿ. What is n?
  27. 27.Write 3,00,000 in standard form as 3 × 10ⁿ. What is n?
  28. 28.Write 550 in standard form as 5.5 × 10ⁿ. What is n?
  29. 29.Write 9.2 × 10⁻³ as a decimal. =
  30. 30.What is the value of 3⁴ × 3⁻³? =
  31. 31.Write 3.5 × 10⁻² as a decimal. =
  32. 32.Write 8¹³ ÷ 8⁵ as a single power 8ⁿ. What is n?
  33. 33.Write 7.3 × 10⁻³ as a decimal. =
  34. 34.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
  35. 35.Write 7³ × 7⁵ as a single power 7ⁿ. What is n?
  36. 36.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  37. 37.What is the value of 2⁻³ (as a fraction)? =
  38. 38.Write 8.7 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 9⁵? =
  40. 40.Write 2⁸ × 2⁶ as a single power 2ⁿ. What is n?

Answer key

  1. 4
  2. 1/36
  3. 11000000
  4. 0.00055
  5. 2
  6. 1/5
  7. 0.99
  8. 1/6
  9. 25
  10. 729
  11. 0.81
  12. 0.019
  13. 8
  14. 1/256
  15. 21
  16. 128
  17. 0.012
  18. 5
  19. 1/10
  20. 32
  21. 14
  22. 1
  23. 0.00074
  24. 9/8
  25. 2
  26. 3
  27. 5
  28. 2
  29. 0.0092
  30. 3
  31. 0.035
  32. 8
  33. 0.0073
  34. 2
  35. 8
  36. 5
  37. 1/8
  38. 0.00087
  39. 59049
  40. 14

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