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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 416 · 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.Write (5⁶)⁹ as a single power 5ⁿ. What is n?
  2. 2.What is the value of 2¹ × 2⁻³? =
  3. 3.What is the value of 3⁴? =
  4. 4.What is the value of 2¹ × 2⁻²? =
  5. 5.What is the value of 9²? =
  6. 6.Write 7.1 × 10⁻¹ as a decimal. =
  7. 7.Write (3³)⁵ as a single power 3ⁿ. What is n?
  8. 8.What is the value of 2⁷? =
  9. 9.Write (5⁵)⁸ as a single power 5ⁿ. What is n?
  10. 10.Write 6.6 × 10⁻⁴ as a decimal. =
  11. 11.What is the value of 7⁵? =
  12. 12.What is the value of 9⁵? =
  13. 13.Write (6²)³ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 2⁵? =
  15. 15.What is the value of 2⁶ × 2⁻²? =
  16. 16.What is the value of 4³? =
  17. 17.1.7 × 10² =
  18. 18.What is the value of 3⁹? =
  19. 19.7.3 × 10⁷ =
  20. 20.4 × 10⁶ =
  21. 21.Write 7⁷ × 7² as a single power 7ⁿ. What is n?
  22. 22.Write 9,80,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  23. 23.4.8 × 10³ =
  24. 24.3.2 × 10⁵ =
  25. 25.Write 8⁶ ÷ 8⁴ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 2⁴? =
  27. 27.Write 6.4 × 10⁻² as a decimal. =
  28. 28.Write 2⁵ × 2³ as a single power 2ⁿ. What is n?
  29. 29.7.2 × 10⁴ =
  30. 30.What is the value of 3⁻⁴ (as a fraction)? =
  31. 31.Write 9.2 × 10⁻² as a decimal. =
  32. 32.What is the value of (3/5)⁻¹? =
  33. 33.What is the value of 2² × 2⁻⁵? =
  34. 34.What is the value of 2¹²? =
  35. 35.What is the value of (2/9)⁻¹? =
  36. 36.What is the value of 4⁵? =
  37. 37.Write 2⁵ ÷ 2³ as a single power 2ⁿ. What is n?
  38. 38.Write 1,500 in standard form as 1.5 × 10ⁿ. What is n?
  39. 39.What is the value of 4⁻⁴ (as a fraction)? =
  40. 40.Write (9⁸)² as a single power 9ⁿ. What is n?

Answer key

  1. 54
  2. 1/4
  3. 81
  4. 1/2
  5. 81
  6. 0.71
  7. 15
  8. 128
  9. 40
  10. 0.00066
  11. 16807
  12. 59049
  13. 6
  14. 32
  15. 16
  16. 64
  17. 170
  18. 19683
  19. 73000000
  20. 4000000
  21. 9
  22. 7
  23. 4800
  24. 320000
  25. 2
  26. 16
  27. 0.064
  28. 8
  29. 72000
  30. 1/81
  31. 0.092
  32. 5/3
  33. 1/8
  34. 4096
  35. 9/2
  36. 1024
  37. 2
  38. 3
  39. 1/256
  40. 16

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