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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 22 · 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 (7/8)⁻²? =
  2. 2.What is the value of (6/7)⁻²? =
  3. 3.Write 8.6 × 10⁻² as a decimal. =
  4. 4.What is the value of 2⁻⁵ (as a fraction)? =
  5. 5.Write 2⁴ × 2⁶ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 10⁵ × 10⁻²? =
  7. 7.1.2 × 10⁵ =
  8. 8.What is the value of 2¹ × 2⁻³? =
  9. 9.What is the value of 2³ × 2⁻⁵? =
  10. 10.What is the value of 5⁵ × 5⁻⁵? =
  11. 11.Write 4.7 × 10⁻² as a decimal. =
  12. 12.9.9 × 10² =
  13. 13.What is the value of 2⁶ × 2⁻⁴? =
  14. 14.3.1 × 10² =
  15. 15.Write 1.8 × 10⁻⁴ as a decimal. =
  16. 16.What is the value of 3³? =
  17. 17.What is the value of 9⁻¹ (as a fraction)? =
  18. 18.What is the value of 2¹⁵? =
  19. 19.What is the value of 2³? =
  20. 20.Write 3.9 × 10⁻² as a decimal. =
  21. 21.Write 6 × 10⁻² as a decimal. =
  22. 22.Write 7.3 × 10⁻⁴ as a decimal. =
  23. 23.Write 8,40,000 in standard form as 8.4 × 10ⁿ. What is n?
  24. 24.Write (4⁵)³ as a single power 4ⁿ. What is n?
  25. 25.Write 4.6 × 10⁻² as a decimal. =
  26. 26.8.7 × 10² =
  27. 27.4.2 × 10⁶ =
  28. 28.Write 6⁸ × 6⁸ as a single power 6ⁿ. What is n?
  29. 29.What is the value of 2¹²? =
  30. 30.4.8 × 10⁵ =
  31. 31.What is the value of 3¹⁰? =
  32. 32.What is the value of (1/4)⁻²? =
  33. 33.What is the value of 5² × 5⁻¹? =
  34. 34.What is the value of 10⁵? =
  35. 35.What is the value of 8²? =
  36. 36.2.6 × 10⁴ =
  37. 37.What is the value of 4⁻² (as a fraction)? =
  38. 38.Write 7¹⁵ ÷ 7⁹ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 10⁴ × 10⁻⁴? =
  40. 40.Write 6,10,00,000 in standard form as 6.1 × 10ⁿ. What is n?

Answer key

  1. 64/49
  2. 49/36
  3. 0.086
  4. 1/32
  5. 10
  6. 1000
  7. 120000
  8. 1/4
  9. 1/4
  10. 1
  11. 0.047
  12. 990
  13. 4
  14. 310
  15. 0.00018
  16. 27
  17. 1/9
  18. 32768
  19. 8
  20. 0.039
  21. 0.06
  22. 0.00073
  23. 5
  24. 15
  25. 0.046
  26. 870
  27. 4200000
  28. 16
  29. 4096
  30. 480000
  31. 59049
  32. 16
  33. 5
  34. 100000
  35. 64
  36. 26000
  37. 1/16
  38. 6
  39. 1
  40. 7

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