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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 25 · 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 2² × 2⁻²? =
  2. 2.What is the value of 2¹⁵? =
  3. 3.What is the value of 5³ × 5⁻⁴? =
  4. 4.Write 5.1 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of 5⁷? =
  6. 6.Write 7.9 × 10⁻³ as a decimal. =
  7. 7.Write 44,000 in standard form as 4.4 × 10ⁿ. What is n?
  8. 8.1.5 × 10³ =
  9. 9.Write 2⁷ × 2⁸ as a single power 2ⁿ. What is n?
  10. 10.What is the value of 6⁵? =
  11. 11.Write 3.9 × 10⁻⁴ as a decimal. =
  12. 12.Write 2.6 × 10⁻³ as a decimal. =
  13. 13.What is the value of 3⁻² (as a fraction)? =
  14. 14.What is the value of 2⁵ × 2⁻¹? =
  15. 15.What is the value of 3⁸? =
  16. 16.Write 57,00,000 in standard form as 5.7 × 10ⁿ. What is n?
  17. 17.What is the value of 3¹ × 3⁻¹? =
  18. 18.What is the value of 8⁴? =
  19. 19.What is the value of 2⁻⁹ (as a fraction)? =
  20. 20.What is the value of (5/6)⁻²? =
  21. 21.Write 8⁵ × 8³ as a single power 8ⁿ. What is n?
  22. 22.What is the value of 9⁻² (as a fraction)? =
  23. 23.Write 8⁹ ÷ 8² as a single power 8ⁿ. What is n?
  24. 24.Write 7.1 × 10⁻² as a decimal. =
  25. 25.What is the value of 10⁻³ (as a fraction)? =
  26. 26.Write 8.9 × 10⁻¹ as a decimal. =
  27. 27.What is the value of 5³ × 5⁻¹? =
  28. 28.Write 7⁸ × 7⁹ as a single power 7ⁿ. What is n?
  29. 29.Write 8 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 5⁻¹ (as a fraction)? =
  31. 31.What is the value of 2¹ × 2⁻⁴? =
  32. 32.What is the value of 10⁴? =
  33. 33.Write (7³)⁵ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 7⁴? =
  35. 35.What is the value of (4/7)⁻¹? =
  36. 36.8.4 × 10² =
  37. 37.Write 1.2 × 10⁻² as a decimal. =
  38. 38.What is the value of (2/7)⁻¹? =
  39. 39.What is the value of 5⁵? =
  40. 40.What is the value of 9⁻³ (as a fraction)? =

Answer key

  1. 1
  2. 32768
  3. 1/5
  4. 0.00051
  5. 78125
  6. 0.0079
  7. 4
  8. 1500
  9. 15
  10. 7776
  11. 0.00039
  12. 0.0026
  13. 1/9
  14. 16
  15. 6561
  16. 6
  17. 1
  18. 4096
  19. 1/512
  20. 36/25
  21. 8
  22. 1/81
  23. 7
  24. 0.071
  25. 1/1000
  26. 0.89
  27. 25
  28. 17
  29. 0.0008
  30. 1/5
  31. 1/8
  32. 10000
  33. 15
  34. 2401
  35. 7/4
  36. 840
  37. 0.012
  38. 7/2
  39. 3125
  40. 1/729

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