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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 939 · 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 2¹ × 2⁻²? =
  2. 2.What is the value of 9⁻² (as a fraction)? =
  3. 3.What is the value of 4⁻¹ (as a fraction)? =
  4. 4.What is the value of 6²? =
  5. 5.What is the value of 7⁻¹ (as a fraction)? =
  6. 6.Write 8.9 × 10⁻² as a decimal. =
  7. 7.What is the value of 5⁻³ (as a fraction)? =
  8. 8.1.3 × 10⁵ =
  9. 9.Write (8⁹)⁷ as a single power 8ⁿ. What is n?
  10. 10.What is the value of (1/7)⁻¹? =
  11. 11.What is the value of (4/5)⁻¹? =
  12. 12.Write 92,000 in standard form as 9.2 × 10ⁿ. What is n?
  13. 13.What is the value of 5⁵ × 5⁻²? =
  14. 14.Write 8² × 8⁹ as a single power 8ⁿ. What is n?
  15. 15.Write 4.1 × 10⁻² as a decimal. =
  16. 16.Write 3⁶ × 3⁷ as a single power 3ⁿ. What is n?
  17. 17.What is the value of (3/4)⁻²? =
  18. 18.What is the value of 5² × 5⁻⁴? =
  19. 19.Write 57,00,000 in standard form as 5.7 × 10ⁿ. What is n?
  20. 20.Write 7.7 × 10⁻⁴ as a decimal. =
  21. 21.Write 5⁴ × 5⁷ as a single power 5ⁿ. What is n?
  22. 22.What is the value of 4⁷? =
  23. 23.What is the value of (7/9)⁻²? =
  24. 24.What is the value of 2⁻¹ (as a fraction)? =
  25. 25.What is the value of 3³? =
  26. 26.What is the value of 2¹ × 2⁻¹? =
  27. 27.Write 2.8 × 10⁻¹ as a decimal. =
  28. 28.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  29. 29.Write 68,000 in standard form as 6.8 × 10ⁿ. What is n?
  30. 30.Write (3²)⁹ as a single power 3ⁿ. What is n?
  31. 31.What is the value of 10¹ × 10⁻²? =
  32. 32.Write 8³ × 8⁸ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 3⁴ × 3⁻⁶? =
  34. 34.What is the value of 2² × 2⁻¹? =
  35. 35.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  36. 36.What is the value of 10³? =
  37. 37.Write 8³ × 8² as a single power 8ⁿ. What is n?
  38. 38.Write (9⁷)⁸ as a single power 9ⁿ. What is n?
  39. 39.Write 2⁶ ÷ 2² as a single power 2ⁿ. What is n?
  40. 40.What is the value of 2¹⁰? =

Answer key

  1. 1/2
  2. 1/81
  3. 1/4
  4. 36
  5. 1/7
  6. 0.089
  7. 1/125
  8. 130000
  9. 63
  10. 7
  11. 5/4
  12. 4
  13. 125
  14. 11
  15. 0.041
  16. 13
  17. 16/9
  18. 1/25
  19. 6
  20. 0.00077
  21. 11
  22. 16384
  23. 81/49
  24. 1/2
  25. 27
  26. 1
  27. 0.28
  28. 15
  29. 4
  30. 18
  31. 1/10
  32. 11
  33. 1/9
  34. 2
  35. 6
  36. 1000
  37. 5
  38. 56
  39. 4
  40. 1024

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