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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 708 · 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 3²? =
  2. 2.What is the value of 10⁵ × 10⁻²? =
  3. 3.Write 9 × 10⁻² as a decimal. =
  4. 4.Write 9.2 × 10⁻² as a decimal. =
  5. 5.What is the value of 9⁴? =
  6. 6.What is the value of 2¹⁶? =
  7. 7.What is the value of 4⁻⁴ (as a fraction)? =
  8. 8.What is the value of 5¹ × 5⁻⁶? =
  9. 9.Write 3⁸ ÷ 3⁵ as a single power 3ⁿ. What is n?
  10. 10.Write 6¹³ ÷ 6⁴ as a single power 6ⁿ. What is n?
  11. 11.8.1 × 10⁵ =
  12. 12.What is the value of 5⁻³ (as a fraction)? =
  13. 13.Write 4.9 × 10⁻³ as a decimal. =
  14. 14.Write 7,80,000 in standard form as 7.8 × 10ⁿ. What is n?
  15. 15.What is the value of 2¹¹? =
  16. 16.What is the value of 3⁻³ (as a fraction)? =
  17. 17.What is the value of 10¹ × 10⁻⁵? =
  18. 18.What is the value of 2⁶ × 2⁻⁶? =
  19. 19.Write 7¹⁴ ÷ 7⁷ as a single power 7ⁿ. What is n?
  20. 20.What is the value of 5²? =
  21. 21.Write 94,000 in standard form as 9.4 × 10ⁿ. What is n?
  22. 22.2.5 × 10³ =
  23. 23.What is the value of (3/4)⁻²? =
  24. 24.Write 2⁵ × 2⁸ as a single power 2ⁿ. What is n?
  25. 25.What is the value of 2⁻⁶ (as a fraction)? =
  26. 26.What is the value of 8⁻³ (as a fraction)? =
  27. 27.What is the value of 10⁻² (as a fraction)? =
  28. 28.What is the value of 8³? =
  29. 29.What is the value of 6⁵? =
  30. 30.Write (3³)³ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 5³? =
  32. 32.Write 3.4 × 10⁻¹ as a decimal. =
  33. 33.What is the value of 3⁻⁴ (as a fraction)? =
  34. 34.Write 7 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of 2⁷? =
  36. 36.What is the value of 4⁶? =
  37. 37.What is the value of 10⁴ × 10⁻¹? =
  38. 38.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
  39. 39.What is the value of 3⁴ × 3⁻⁵? =
  40. 40.What is the value of 10⁴ × 10⁻²? =

Answer key

  1. 9
  2. 1000
  3. 0.09
  4. 0.092
  5. 6561
  6. 65536
  7. 1/256
  8. 1/3125
  9. 3
  10. 9
  11. 810000
  12. 1/125
  13. 0.0049
  14. 5
  15. 2048
  16. 1/27
  17. 1/10000
  18. 1
  19. 7
  20. 25
  21. 4
  22. 2500
  23. 16/9
  24. 13
  25. 1/64
  26. 1/512
  27. 1/100
  28. 512
  29. 7776
  30. 9
  31. 125
  32. 0.34
  33. 1/81
  34. 0.0007
  35. 128
  36. 4096
  37. 1000
  38. 4
  39. 1/3
  40. 100

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