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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 522 · 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. 1.2 × 10⁷ =
  2. 2.What is the value of 10¹ × 10⁻⁵? =
  3. 3.What is the value of 3¹ × 3⁻⁶? =
  4. 4.What is the value of 2⁴ × 2⁻⁴? =
  5. 5.What is the value of (4/9)⁻¹? =
  6. 6.What is the value of 10⁵ × 10⁻²? =
  7. 7.9.9 × 10² =
  8. 8.What is the value of 10⁴ × 10⁻²? =
  9. 9.8.9 × 10⁴ =
  10. 10.Write (5⁶)⁷ as a single power 5ⁿ. What is n?
  11. 11.Write 3⁷ ÷ 3³ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 9⁵? =
  13. 13.Write 8.1 × 10⁻¹ as a decimal. =
  14. 14.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  15. 15.Write 6.7 × 10⁻¹ as a decimal. =
  16. 16.Write 6⁵ ÷ 6² as a single power 6ⁿ. What is n?
  17. 17.What is the value of 3⁻² (as a fraction)? =
  18. 18.What is the value of (1/2)⁻¹? =
  19. 19.Write 2⁵ × 2⁵ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 4³? =
  21. 21.What is the value of 5⁴ × 5⁻³? =
  22. 22.What is the value of 2¹²? =
  23. 23.What is the value of (1/9)⁻¹? =
  24. 24.Write 7.4 × 10⁻⁴ as a decimal. =
  25. 25.Write 3⁹ × 3⁹ as a single power 3ⁿ. What is n?
  26. 26.What is the value of 4⁻² (as a fraction)? =
  27. 27.What is the value of 3⁻⁴ (as a fraction)? =
  28. 28.What is the value of 3¹ × 3⁻¹? =
  29. 29.What is the value of 10³ × 10⁻¹? =
  30. 30.Write 31,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  31. 31.What is the value of 3¹⁰? =
  32. 32.What is the value of 8⁵? =
  33. 33.What is the value of 5³ × 5⁻²? =
  34. 34.What is the value of 5³ × 5⁻¹? =
  35. 35.What is the value of 6⁴? =
  36. 36.What is the value of 9²? =
  37. 37.What is the value of 2³? =
  38. 38.Write 5.9 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 2⁻² (as a fraction)? =
  40. 40.What is the value of (1/7)⁻²? =

Answer key

  1. 20000000
  2. 1/10000
  3. 1/243
  4. 1
  5. 9/4
  6. 1000
  7. 990
  8. 100
  9. 89000
  10. 42
  11. 4
  12. 59049
  13. 0.81
  14. 12
  15. 0.67
  16. 3
  17. 1/9
  18. 2
  19. 10
  20. 64
  21. 5
  22. 4096
  23. 9
  24. 0.00074
  25. 18
  26. 1/16
  27. 1/81
  28. 1
  29. 100
  30. 6
  31. 59049
  32. 32768
  33. 5
  34. 25
  35. 1296
  36. 81
  37. 8
  38. 0.59
  39. 1/4
  40. 49

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