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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 113 · 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 × 10⁻³ as a decimal. =
  2. 2.What is the value of 2⁹? =
  3. 3.What is the value of 2¹¹? =
  4. 4.What is the value of 3³ × 3⁻⁵? =
  5. 5.4.4 × 10² =
  6. 6.What is the value of 3⁵? =
  7. 7.What is the value of 2² × 2⁻²? =
  8. 8.What is the value of 2⁶? =
  9. 9.What is the value of 5³ × 5⁻⁶? =
  10. 10.Write 6⁷ × 6⁵ as a single power 6ⁿ. What is n?
  11. 11.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  12. 12.What is the value of 5³ × 5⁻³? =
  13. 13.What is the value of 9²? =
  14. 14.What is the value of 2¹⁴? =
  15. 15.What is the value of 5⁻² (as a fraction)? =
  16. 16.What is the value of (3/4)⁻¹? =
  17. 17.Write 2.9 × 10⁻³ as a decimal. =
  18. 18.What is the value of 3² × 3⁻²? =
  19. 19.1.1 × 10⁴ =
  20. 20.What is the value of 10¹ × 10⁻⁴? =
  21. 21.Write 6,20,00,000 in standard form as 6.2 × 10ⁿ. What is n?
  22. 22.What is the value of (7/9)⁻²? =
  23. 23.Write 7¹³ ÷ 7⁵ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 5³? =
  25. 25.What is the value of 5⁵ × 5⁻⁴? =
  26. 26.Write (3²)⁴ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 4²? =
  28. 28.Write 6³ × 6⁵ as a single power 6ⁿ. What is n?
  29. 29.What is the value of 3¹⁰? =
  30. 30.What is the value of 5²? =
  31. 31.What is the value of 10⁻³ (as a fraction)? =
  32. 32.What is the value of 2⁻⁶ (as a fraction)? =
  33. 33.What is the value of 2⁶ × 2⁻¹? =
  34. 34.What is the value of 6⁴? =
  35. 35.5.9 × 10⁷ =
  36. 36.Write (6⁹)⁸ as a single power 6ⁿ. What is n?
  37. 37.What is the value of 2⁻² (as a fraction)? =
  38. 38.3.6 × 10² =
  39. 39.Write 1.3 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of 7⁵? =

Answer key

  1. 0.0086
  2. 512
  3. 2048
  4. 1/9
  5. 440
  6. 243
  7. 1
  8. 64
  9. 1/125
  10. 12
  11. 2
  12. 1
  13. 81
  14. 16384
  15. 1/25
  16. 4/3
  17. 0.0029
  18. 1
  19. 11000
  20. 1/1000
  21. 7
  22. 81/49
  23. 8
  24. 125
  25. 5
  26. 8
  27. 16
  28. 8
  29. 59049
  30. 25
  31. 1/1000
  32. 1/64
  33. 32
  34. 1296
  35. 59000000
  36. 72
  37. 1/4
  38. 360
  39. 0.00013
  40. 16807

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