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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 906 · 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 (2/3)⁻¹? =
  2. 2.What is the value of 4⁴? =
  3. 3.What is the value of 3² × 3⁻²? =
  4. 4.Write 3.4 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 5²? =
  6. 6.What is the value of 2¹³? =
  7. 7.Write 4.4 × 10⁻⁴ as a decimal. =
  8. 8.1.4 × 10⁵ =
  9. 9.Write 7⁸ × 7⁴ as a single power 7ⁿ. What is n?
  10. 10.What is the value of 2² × 2⁻²? =
  11. 11.What is the value of (4/9)⁻²? =
  12. 12.Write 8.8 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 9⁵? =
  14. 14.What is the value of 5⁻⁴ (as a fraction)? =
  15. 15.What is the value of 2⁻⁴ (as a fraction)? =
  16. 16.Write 1.1 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 10⁴? =
  18. 18.What is the value of 6⁶? =
  19. 19.Write 43,00,000 in standard form as 4.3 × 10ⁿ. What is n?
  20. 20.What is the value of 10⁶ × 10⁻³? =
  21. 21.What is the value of 3⁶? =
  22. 22.What is the value of 3⁶ × 3⁻⁴? =
  23. 23.Write (3⁴)³ as a single power 3ⁿ. What is n?
  24. 24.Write 8.6 × 10⁻¹ as a decimal. =
  25. 25.Write 3.5 × 10⁻² as a decimal. =
  26. 26.Write 8.9 × 10⁻² as a decimal. =
  27. 27.3.2 × 10⁴ =
  28. 28.Write 4⁶ ÷ 4² as a single power 4ⁿ. What is n?
  29. 29.1.8 × 10² =
  30. 30.What is the value of 4²? =
  31. 31.Write 4.9 × 10⁻¹ as a decimal. =
  32. 32.What is the value of 10⁵ × 10⁻¹? =
  33. 33.What is the value of 5¹ × 5⁻³? =
  34. 34.What is the value of (1/3)⁻²? =
  35. 35.What is the value of 5² × 5⁻⁵? =
  36. 36.What is the value of (2/9)⁻²? =
  37. 37.Write 9.4 × 10⁻³ as a decimal. =
  38. 38.What is the value of 2⁴ × 2⁻³? =
  39. 39.Write 65,000 in standard form as 6.5 × 10ⁿ. What is n?
  40. 40.What is the value of 2¹⁶? =

Answer key

  1. 3/2
  2. 256
  3. 1
  4. 0.00034
  5. 25
  6. 8192
  7. 0.00044
  8. 140000
  9. 12
  10. 1
  11. 81/16
  12. 0.88
  13. 59049
  14. 1/625
  15. 1/16
  16. 0.11
  17. 10000
  18. 46656
  19. 6
  20. 1000
  21. 729
  22. 9
  23. 12
  24. 0.86
  25. 0.035
  26. 0.089
  27. 32000
  28. 4
  29. 180
  30. 16
  31. 0.49
  32. 10000
  33. 1/25
  34. 9
  35. 1/125
  36. 81/4
  37. 0.0094
  38. 2
  39. 4
  40. 65536

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