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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 387 · 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 5¹⁶ ÷ 5⁹ as a single power 5ⁿ. What is n?
  2. 2.Write (7²)⁵ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 8⁵? =
  4. 4.What is the value of 3⁵ × 3⁻⁵? =
  5. 5.What is the value of 2¹ × 2⁻⁶? =
  6. 6.What is the value of 4³? =
  7. 7.Write 6.5 × 10⁻¹ as a decimal. =
  8. 8.What is the value of 2⁻³ (as a fraction)? =
  9. 9.Write 3¹⁶ ÷ 3⁹ as a single power 3ⁿ. What is n?
  10. 10.Write (9³)² as a single power 9ⁿ. What is n?
  11. 11.What is the value of 6²? =
  12. 12.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  13. 13.What is the value of (2/9)⁻²? =
  14. 14.Write 6.5 × 10⁻³ as a decimal. =
  15. 15.2.8 × 10³ =
  16. 16.3.8 × 10² =
  17. 17.What is the value of 2⁶? =
  18. 18.What is the value of 2⁵? =
  19. 19.9.4 × 10⁵ =
  20. 20.4.9 × 10³ =
  21. 21.What is the value of 5⁻¹ (as a fraction)? =
  22. 22.What is the value of 2⁻⁸ (as a fraction)? =
  23. 23.Write 7¹⁵ ÷ 7⁸ as a single power 7ⁿ. What is n?
  24. 24.Write 9.1 × 10⁻¹ as a decimal. =
  25. 25.Write 2,80,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  26. 26.Write 7¹⁷ ÷ 7⁹ as a single power 7ⁿ. What is n?
  27. 27.Write 3.8 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 3⁵? =
  29. 29.What is the value of (1/7)⁻²? =
  30. 30.What is the value of 9⁵? =
  31. 31.What is the value of 3² × 3⁻⁵? =
  32. 32.What is the value of (4/5)⁻¹? =
  33. 33.What is the value of 5⁶? =
  34. 34.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  35. 35.What is the value of 3⁴? =
  36. 36.Write (2⁸)⁹ as a single power 2ⁿ. What is n?
  37. 37.What is the value of 10⁴ × 10⁻²? =
  38. 38.What is the value of 4⁻² (as a fraction)? =
  39. 39.Write 1.2 × 10⁻¹ as a decimal. =
  40. 40.Write 2² × 2⁶ as a single power 2ⁿ. What is n?

Answer key

  1. 7
  2. 10
  3. 32768
  4. 1
  5. 1/32
  6. 64
  7. 0.65
  8. 1/8
  9. 7
  10. 6
  11. 36
  12. 4
  13. 81/4
  14. 0.0065
  15. 2800
  16. 380
  17. 64
  18. 32
  19. 940000
  20. 4900
  21. 1/5
  22. 1/256
  23. 7
  24. 0.91
  25. 7
  26. 8
  27. 0.00038
  28. 243
  29. 49
  30. 59049
  31. 1/27
  32. 5/4
  33. 15625
  34. 8
  35. 81
  36. 72
  37. 100
  38. 1/16
  39. 0.12
  40. 8

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