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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 718 · 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 2¹¹? =
  2. 2.Write 9,00,00,000 in standard form as 9 × 10ⁿ. What is n?
  3. 3.What is the value of 3⁸? =
  4. 4.Write 8³ × 8² as a single power 8ⁿ. What is n?
  5. 5.What is the value of (2/5)⁻²? =
  6. 6.What is the value of 2⁶ × 2⁻¹? =
  7. 7.Write (7³)⁸ as a single power 7ⁿ. What is n?
  8. 8.5.4 × 10⁵ =
  9. 9.4.4 × 10² =
  10. 10.Write 8.4 × 10⁻² as a decimal. =
  11. 11.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
  12. 12.9.9 × 10⁴ =
  13. 13.What is the value of 5⁴ × 5⁻⁶? =
  14. 14.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  15. 15.3.4 × 10³ =
  16. 16.Write (3⁴)⁶ as a single power 3ⁿ. What is n?
  17. 17.Write 4¹³ ÷ 4⁵ as a single power 4ⁿ. What is n?
  18. 18.What is the value of (1/6)⁻¹? =
  19. 19.What is the value of 10⁵ × 10⁻⁵? =
  20. 20.Write 8,10,000 in standard form as 8.1 × 10ⁿ. What is n?
  21. 21.9.6 × 10³ =
  22. 22.Write 4.1 × 10⁻⁴ as a decimal. =
  23. 23.Write 7.7 × 10⁻³ as a decimal. =
  24. 24.Write 4.6 × 10⁻¹ as a decimal. =
  25. 25.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  26. 26.9.7 × 10² =
  27. 27.What is the value of 10² × 10⁻³? =
  28. 28.Write 2.1 × 10⁻⁴ as a decimal. =
  29. 29.Write 3 × 10⁻² as a decimal. =
  30. 30.What is the value of 2¹ × 2⁻²? =
  31. 31.What is the value of 5⁶ × 5⁻⁴? =
  32. 32.Write 3.4 × 10⁻² as a decimal. =
  33. 33.What is the value of 8⁴? =
  34. 34.2.2 × 10⁷ =
  35. 35.Write 7.1 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 7⁵? =
  37. 37.What is the value of (2/9)⁻²? =
  38. 38.What is the value of 3⁶ × 3⁻⁵? =
  39. 39.What is the value of 3⁶ × 3⁻¹? =
  40. 40.What is the value of 6⁵? =

Answer key

  1. 2048
  2. 7
  3. 6561
  4. 5
  5. 25/4
  6. 32
  7. 24
  8. 540000
  9. 440
  10. 0.084
  11. 3
  12. 99000
  13. 1/25
  14. 7
  15. 3400
  16. 24
  17. 8
  18. 6
  19. 1
  20. 5
  21. 9600
  22. 0.00041
  23. 0.0077
  24. 0.46
  25. 7
  26. 970
  27. 1/10
  28. 0.00021
  29. 0.03
  30. 1/2
  31. 25
  32. 0.034
  33. 4096
  34. 22000000
  35. 0.71
  36. 16807
  37. 81/4
  38. 3
  39. 243
  40. 7776

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