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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 85 · 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 4²? =
  2. 2.What is the value of 5³ × 5⁻³? =
  3. 3.Write 7¹⁶ ÷ 7⁷ as a single power 7ⁿ. What is n?
  4. 4.What is the value of 2⁶ × 2⁻⁶? =
  5. 5.What is the value of 5¹ × 5⁻²? =
  6. 6.What is the value of 3⁹? =
  7. 7.What is the value of 7⁵? =
  8. 8.Write 7.1 × 10⁻¹ as a decimal. =
  9. 9.Write 9.2 × 10⁻² as a decimal. =
  10. 10.What is the value of (8/9)⁻¹? =
  11. 11.What is the value of 2¹⁵? =
  12. 12.1.6 × 10⁷ =
  13. 13.Write 4⁵ ÷ 4² as a single power 4ⁿ. What is n?
  14. 14.What is the value of 4⁸? =
  15. 15.What is the value of 2¹ × 2⁻¹? =
  16. 16.Write 1,10,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  17. 17.What is the value of 2⁴ × 2⁻²? =
  18. 18.What is the value of 6⁻² (as a fraction)? =
  19. 19.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
  20. 20.What is the value of 5¹ × 5⁻¹? =
  21. 21.Write (3⁸)⁴ as a single power 3ⁿ. What is n?
  22. 22.Write 5 × 10⁻¹ as a decimal. =
  23. 23.Write 3⁷ × 3⁷ as a single power 3ⁿ. What is n?
  24. 24.Write 2,30,000 in standard form as 2.3 × 10ⁿ. What is n?
  25. 25.Write 8,40,000 in standard form as 8.4 × 10ⁿ. What is n?
  26. 26.What is the value of 2⁻² (as a fraction)? =
  27. 27.Write 8¹⁸ ÷ 8⁹ as a single power 8ⁿ. What is n?
  28. 28.Write (6⁹)⁵ as a single power 6ⁿ. What is n?
  29. 29.What is the value of 2⁹? =
  30. 30.Write 2,10,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  31. 31.Write 7⁸ ÷ 7³ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 5⁶ × 5⁻⁴? =
  33. 33.What is the value of 8⁻² (as a fraction)? =
  34. 34.5.6 × 10⁶ =
  35. 35.Write 5⁷ × 5³ as a single power 5ⁿ. What is n?
  36. 36.Write 5⁵ × 5⁹ as a single power 5ⁿ. What is n?
  37. 37.What is the value of 5³ × 5⁻⁶? =
  38. 38.Write (6⁶)⁴ as a single power 6ⁿ. What is n?
  39. 39.What is the value of 6³? =
  40. 40.What is the value of 3⁸? =

Answer key

  1. 16
  2. 1
  3. 9
  4. 1
  5. 1/5
  6. 19683
  7. 16807
  8. 0.71
  9. 0.092
  10. 9/8
  11. 32768
  12. 16000000
  13. 3
  14. 65536
  15. 1
  16. 7
  17. 4
  18. 1/36
  19. 2
  20. 1
  21. 32
  22. 0.5
  23. 14
  24. 5
  25. 5
  26. 1/4
  27. 9
  28. 45
  29. 512
  30. 7
  31. 5
  32. 25
  33. 1/64
  34. 5600000
  35. 10
  36. 14
  37. 1/125
  38. 24
  39. 216
  40. 6561

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