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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 278 · 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.Write 8.6 × 10⁻¹ as a decimal. =
  2. 2.3.4 × 10² =
  3. 3.What is the value of (7/9)⁻²? =
  4. 4.Write (8⁶)⁸ as a single power 8ⁿ. What is n?
  5. 5.Write (2⁵)² as a single power 2ⁿ. What is n?
  6. 6.2.9 × 10⁶ =
  7. 7.Write 7.1 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 2⁻² (as a fraction)? =
  9. 9.2.9 × 10⁴ =
  10. 10.Write 6.1 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 4⁴? =
  12. 12.What is the value of 10¹ × 10⁻⁴? =
  13. 13.Write 4⁶ × 4⁶ as a single power 4ⁿ. What is n?
  14. 14.What is the value of 5⁵ × 5⁻²? =
  15. 15.What is the value of 2¹¹? =
  16. 16.What is the value of 7⁴? =
  17. 17.Write (9⁷)³ as a single power 9ⁿ. What is n?
  18. 18.Write 90,00,000 in standard form as 9 × 10ⁿ. What is n?
  19. 19.What is the value of 3⁶ × 3⁻⁵? =
  20. 20.Write (2⁴)⁹ as a single power 2ⁿ. What is n?
  21. 21.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  22. 22.Write 1,90,000 in standard form as 1.9 × 10ⁿ. What is n?
  23. 23.8.8 × 10⁴ =
  24. 24.What is the value of 2⁶? =
  25. 25.What is the value of 5² × 5⁻⁵? =
  26. 26.3.2 × 10² =
  27. 27.7 × 10⁴ =
  28. 28.What is the value of 8⁵? =
  29. 29.Write 41,000 in standard form as 4.1 × 10ⁿ. What is n?
  30. 30.What is the value of 2¹ × 2⁻¹? =
  31. 31.Write 3.4 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 3¹ × 3⁻³? =
  33. 33.What is the value of 5⁻² (as a fraction)? =
  34. 34.What is the value of 3³ × 3⁻¹? =
  35. 35.What is the value of 6⁵? =
  36. 36.Write 2.4 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 5⁵? =
  38. 38.What is the value of (1/8)⁻²? =
  39. 39.Write 5.9 × 10⁻² as a decimal. =
  40. 40.Write 1.6 × 10⁻¹ as a decimal. =

Answer key

  1. 0.86
  2. 340
  3. 81/49
  4. 48
  5. 10
  6. 2900000
  7. 0.71
  8. 1/4
  9. 29000
  10. 0.00061
  11. 256
  12. 1/1000
  13. 12
  14. 125
  15. 2048
  16. 2401
  17. 21
  18. 6
  19. 3
  20. 36
  21. 6
  22. 5
  23. 88000
  24. 64
  25. 1/125
  26. 320
  27. 70000
  28. 32768
  29. 4
  30. 1
  31. 0.00034
  32. 1/9
  33. 1/25
  34. 9
  35. 7776
  36. 0.00024
  37. 3125
  38. 64
  39. 0.059
  40. 0.16

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