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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 650 · 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 (1/6)⁻²? =
  2. 2.What is the value of 2⁵ × 2⁻⁴? =
  3. 3.What is the value of 9⁻² (as a fraction)? =
  4. 4.What is the value of 6²? =
  5. 5.Write 5.4 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 10³ × 10⁻²? =
  7. 7.What is the value of 5³? =
  8. 8.What is the value of 2⁻⁷ (as a fraction)? =
  9. 9.What is the value of (3/7)⁻²? =
  10. 10.What is the value of 10²? =
  11. 11.Write 1.2 × 10⁻³ as a decimal. =
  12. 12.5.6 × 10⁵ =
  13. 13.What is the value of 5⁵ × 5⁻³? =
  14. 14.Write 8⁶ × 8³ as a single power 8ⁿ. What is n?
  15. 15.What is the value of (5/7)⁻²? =
  16. 16.What is the value of (5/9)⁻²? =
  17. 17.Write 6⁴ × 6² as a single power 6ⁿ. What is n?
  18. 18.Write 3.4 × 10⁻¹ as a decimal. =
  19. 19.Write 8.7 × 10⁻² as a decimal. =
  20. 20.What is the value of 3⁴ × 3⁻⁵? =
  21. 21.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
  22. 22.Write 8.2 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 5³ × 5⁻³? =
  24. 24.What is the value of (1/7)⁻²? =
  25. 25.Write 2.9 × 10⁻³ as a decimal. =
  26. 26.What is the value of 4⁷? =
  27. 27.Write 3.2 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 4⁸? =
  29. 29.What is the value of 5⁻² (as a fraction)? =
  30. 30.What is the value of 3² × 3⁻⁶? =
  31. 31.What is the value of 6⁻¹ (as a fraction)? =
  32. 32.8.7 × 10⁶ =
  33. 33.What is the value of 10¹ × 10⁻⁶? =
  34. 34.What is the value of (1/4)⁻¹? =
  35. 35.What is the value of 9²? =
  36. 36.6.4 × 10⁶ =
  37. 37.What is the value of 2⁻³ (as a fraction)? =
  38. 38.What is the value of 2⁶ × 2⁻⁵? =
  39. 39.What is the value of 10⁵ × 10⁻⁴? =
  40. 40.What is the value of 2⁶ × 2⁻¹? =

Answer key

  1. 36
  2. 2
  3. 1/81
  4. 36
  5. 0.00054
  6. 10
  7. 125
  8. 1/128
  9. 49/9
  10. 100
  11. 0.0012
  12. 560000
  13. 25
  14. 9
  15. 49/25
  16. 81/25
  17. 6
  18. 0.34
  19. 0.087
  20. 1/3
  21. 8
  22. 0.00082
  23. 1
  24. 49
  25. 0.0029
  26. 16384
  27. 0.32
  28. 65536
  29. 1/25
  30. 1/81
  31. 1/6
  32. 8700000
  33. 1/100000
  34. 4
  35. 81
  36. 6400000
  37. 1/8
  38. 2
  39. 10
  40. 32

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