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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 957 · 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 7⁻² (as a fraction)? =
  2. 2.Write 8¹⁰ ÷ 8³ as a single power 8ⁿ. What is n?
  3. 3.Write 4.2 × 10⁻¹ as a decimal. =
  4. 4.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  5. 5.Write 4.9 × 10⁻³ as a decimal. =
  6. 6.What is the value of 2⁶ × 2⁻⁵? =
  7. 7.What is the value of 2¹²? =
  8. 8.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 5³? =
  10. 10.What is the value of (1/8)⁻¹? =
  11. 11.What is the value of 2³ × 2⁻²? =
  12. 12.What is the value of 9³? =
  13. 13.Write 6⁵ × 6⁵ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 2⁶ × 2⁻⁶? =
  15. 15.What is the value of 3⁻³ (as a fraction)? =
  16. 16.Write (4⁵)⁶ as a single power 4ⁿ. What is n?
  17. 17.What is the value of 5⁵? =
  18. 18.What is the value of 3⁴ × 3⁻¹? =
  19. 19.What is the value of 5³ × 5⁻³? =
  20. 20.What is the value of 2⁵ × 2⁻⁴? =
  21. 21.Write 4⁹ ÷ 4³ as a single power 4ⁿ. What is n?
  22. 22.What is the value of 10⁻² (as a fraction)? =
  23. 23.Write 9,50,00,000 in standard form as 9.5 × 10ⁿ. What is n?
  24. 24.What is the value of 9⁵? =
  25. 25.Write 95,000 in standard form as 9.5 × 10ⁿ. What is n?
  26. 26.What is the value of (1/5)⁻²? =
  27. 27.Write 2² × 2² as a single power 2ⁿ. What is n?
  28. 28.What is the value of (3/4)⁻²? =
  29. 29.Write 2 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 3⁶ × 3⁻²? =
  31. 31.What is the value of 2⁵ × 2⁻²? =
  32. 32.What is the value of (5/8)⁻¹? =
  33. 33.1.7 × 10⁶ =
  34. 34.What is the value of 5⁻⁴ (as a fraction)? =
  35. 35.What is the value of 3⁹? =
  36. 36.What is the value of 2¹ × 2⁻²? =
  37. 37.Write 3.8 × 10⁻¹ as a decimal. =
  38. 38.7.9 × 10⁴ =
  39. 39.What is the value of 2⁷? =
  40. 40.Write 1,90,000 in standard form as 1.9 × 10ⁿ. What is n?

Answer key

  1. 1/49
  2. 7
  3. 0.42
  4. 11
  5. 0.0049
  6. 2
  7. 4096
  8. 14
  9. 125
  10. 8
  11. 2
  12. 729
  13. 10
  14. 1
  15. 1/27
  16. 30
  17. 3125
  18. 27
  19. 1
  20. 2
  21. 6
  22. 1/100
  23. 7
  24. 59049
  25. 4
  26. 25
  27. 4
  28. 16/9
  29. 0.2
  30. 81
  31. 8
  32. 8/5
  33. 1700000
  34. 1/625
  35. 19683
  36. 1/2
  37. 0.38
  38. 79000
  39. 128
  40. 5

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