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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 35 · 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. 1.5.6 × 10⁵ =
  2. 2.What is the value of 5⁶? =
  3. 3.Write 9⁹ ÷ 9⁷ as a single power 9ⁿ. What is n?
  4. 4.Write 9.3 × 10⁻¹ as a decimal. =
  5. 5.4.1 × 10⁷ =
  6. 6.Write 3¹¹ ÷ 3⁶ as a single power 3ⁿ. What is n?
  7. 7.What is the value of 6⁻² (as a fraction)? =
  8. 8.What is the value of 2¹²? =
  9. 9.What is the value of 10⁻¹ (as a fraction)? =
  10. 10.Write 5,10,000 in standard form as 5.1 × 10ⁿ. What is n?
  11. 11.What is the value of 2⁻⁹ (as a fraction)? =
  12. 12.7 × 10⁶ =
  13. 13.What is the value of 8⁻¹ (as a fraction)? =
  14. 14.What is the value of 10³ × 10⁻³? =
  15. 15.What is the value of 10⁶ × 10⁻⁴? =
  16. 16.What is the value of 2⁵ × 2⁻⁶? =
  17. 17.What is the value of 10²? =
  18. 18.Write 1,30,00,000 in standard form as 1.3 × 10ⁿ. What is n?
  19. 19.What is the value of 2¹⁰? =
  20. 20.Write 5,000 in standard form as 5 × 10ⁿ. What is n?
  21. 21.Write 7.2 × 10⁻³ as a decimal. =
  22. 22.Write 2.7 × 10⁻¹ as a decimal. =
  23. 23.What is the value of (5/8)⁻¹? =
  24. 24.What is the value of (4/9)⁻²? =
  25. 25.3.6 × 10² =
  26. 26.What is the value of (5/9)⁻¹? =
  27. 27.Write 6⁸ ÷ 6⁴ as a single power 6ⁿ. What is n?
  28. 28.What is the value of (2/9)⁻¹? =
  29. 29.Write 4 × 10⁻³ as a decimal. =
  30. 30.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
  31. 31.Write 7.3 × 10⁻² as a decimal. =
  32. 32.What is the value of 3³? =
  33. 33.Write 8⁷ ÷ 8² as a single power 8ⁿ. What is n?
  34. 34.What is the value of 7³? =
  35. 35.Write 5.2 × 10⁻³ as a decimal. =
  36. 36.What is the value of 2⁴ × 2⁻²? =
  37. 37.What is the value of 6³? =
  38. 38.What is the value of 8⁻³ (as a fraction)? =
  39. 39.What is the value of 2⁻⁸ (as a fraction)? =
  40. 40.1.4 × 10⁶ =

Answer key

  1. 560000
  2. 15625
  3. 2
  4. 0.93
  5. 41000000
  6. 5
  7. 1/36
  8. 4096
  9. 1/10
  10. 5
  11. 1/512
  12. 7000000
  13. 1/8
  14. 1
  15. 100
  16. 1/2
  17. 100
  18. 7
  19. 1024
  20. 3
  21. 0.0072
  22. 0.27
  23. 8/5
  24. 81/16
  25. 360
  26. 9/5
  27. 4
  28. 9/2
  29. 0.004
  30. 3
  31. 0.073
  32. 27
  33. 5
  34. 343
  35. 0.0052
  36. 4
  37. 216
  38. 1/512
  39. 1/256
  40. 1400000

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