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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 339 · 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 4⁶? =
  2. 2.What is the value of 5⁶ × 5⁻⁵? =
  3. 3.1.1 × 10⁶ =
  4. 4.What is the value of 10⁴ × 10⁻⁴? =
  5. 5.What is the value of 6⁵? =
  6. 6.What is the value of 5² × 5⁻²? =
  7. 7.What is the value of (7/9)⁻¹? =
  8. 8.What is the value of 9²? =
  9. 9.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
  10. 10.Write 6 × 10⁻¹ as a decimal. =
  11. 11.What is the value of (8/9)⁻²? =
  12. 12.Write (7²)³ as a single power 7ⁿ. What is n?
  13. 13.Write 8¹¹ ÷ 8⁸ as a single power 8ⁿ. What is n?
  14. 14.What is the value of 2⁴ × 2⁻⁴? =
  15. 15.Write 4.9 × 10⁻³ as a decimal. =
  16. 16.Write 1.3 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 2¹⁶? =
  18. 18.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
  19. 19.What is the value of 5⁶ × 5⁻⁴? =
  20. 20.What is the value of 8⁻² (as a fraction)? =
  21. 21.Write 7.1 × 10⁻³ as a decimal. =
  22. 22.What is the value of 3⁵? =
  23. 23.What is the value of (1/7)⁻¹? =
  24. 24.What is the value of 7⁵? =
  25. 25.Write (3²)⁶ as a single power 3ⁿ. What is n?
  26. 26.8.4 × 10⁶ =
  27. 27.Write 4,60,000 in standard form as 4.6 × 10ⁿ. What is n?
  28. 28.Write 880 in standard form as 8.8 × 10ⁿ. What is n?
  29. 29.8.2 × 10⁶ =
  30. 30.What is the value of 4³? =
  31. 31.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
  32. 32.What is the value of 2⁶ × 2⁻⁴? =
  33. 33.What is the value of 5³ × 5⁻⁶? =
  34. 34.What is the value of (1/9)⁻²? =
  35. 35.What is the value of (1/7)⁻²? =
  36. 36.Write 7 × 10⁻³ as a decimal. =
  37. 37.What is the value of (1/5)⁻²? =
  38. 38.What is the value of (2/7)⁻¹? =
  39. 39.Write 88,00,000 in standard form as 8.8 × 10ⁿ. What is n?
  40. 40.What is the value of 2⁻³ (as a fraction)? =

Answer key

  1. 4096
  2. 5
  3. 1100000
  4. 1
  5. 7776
  6. 1
  7. 9/7
  8. 81
  9. 6
  10. 0.6
  11. 81/64
  12. 6
  13. 3
  14. 1
  15. 0.0049
  16. 0.13
  17. 65536
  18. 4
  19. 25
  20. 1/64
  21. 0.0071
  22. 243
  23. 7
  24. 16807
  25. 12
  26. 8400000
  27. 5
  28. 2
  29. 8200000
  30. 64
  31. 2
  32. 4
  33. 1/125
  34. 81
  35. 49
  36. 0.007
  37. 25
  38. 7/2
  39. 6
  40. 1/8

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