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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 780 · 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 (5/8)⁻²? =
  2. 2.Write 3.2 × 10⁻³ as a decimal. =
  3. 3.Write 880 in standard form as 8.8 × 10ⁿ. What is n?
  4. 4.Write (9²)² as a single power 9ⁿ. What is n?
  5. 5.What is the value of 5¹ × 5⁻⁴? =
  6. 6.What is the value of 2⁹? =
  7. 7.What is the value of 2¹ × 2⁻⁵? =
  8. 8.Write 7.5 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 2⁴ × 2⁻¹? =
  10. 10.Write 2.6 × 10⁻³ as a decimal. =
  11. 11.Write 7⁵ × 7³ as a single power 7ⁿ. What is n?
  12. 12.What is the value of 3² × 3⁻⁶? =
  13. 13.What is the value of 2⁷? =
  14. 14.What is the value of 7⁻² (as a fraction)? =
  15. 15.What is the value of 5¹ × 5⁻³? =
  16. 16.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
  17. 17.What is the value of 2¹²? =
  18. 18.3.7 × 10⁶ =
  19. 19.Write 6¹² ÷ 6⁴ as a single power 6ⁿ. What is n?
  20. 20.What is the value of 2⁻⁴ (as a fraction)? =
  21. 21.What is the value of 5² × 5⁻¹? =
  22. 22.What is the value of 5³? =
  23. 23.What is the value of 2¹ × 2⁻²? =
  24. 24.Write 5.9 × 10⁻³ as a decimal. =
  25. 25.What is the value of 10⁵ × 10⁻¹? =
  26. 26.What is the value of 6⁵? =
  27. 27.Write 5.3 × 10⁻² as a decimal. =
  28. 28.Write 2.3 × 10⁻⁴ as a decimal. =
  29. 29.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  30. 30.What is the value of 9³? =
  31. 31.3.6 × 10⁵ =
  32. 32.What is the value of 2² × 2⁻¹? =
  33. 33.Write 2 × 10⁻¹ as a decimal. =
  34. 34.Write 6¹⁵ ÷ 6⁶ as a single power 6ⁿ. What is n?
  35. 35.What is the value of 8⁻¹ (as a fraction)? =
  36. 36.What is the value of 3⁸? =
  37. 37.What is the value of 2¹⁶? =
  38. 38.5.4 × 10² =
  39. 39.What is the value of 10³? =
  40. 40.Write (7⁵)⁶ as a single power 7ⁿ. What is n?

Answer key

  1. 64/25
  2. 0.0032
  3. 2
  4. 4
  5. 1/125
  6. 512
  7. 1/16
  8. 0.75
  9. 8
  10. 0.0026
  11. 8
  12. 1/81
  13. 128
  14. 1/49
  15. 1/25
  16. 8
  17. 4096
  18. 3700000
  19. 8
  20. 1/16
  21. 5
  22. 125
  23. 1/2
  24. 0.0059
  25. 10000
  26. 7776
  27. 0.053
  28. 0.00023
  29. 13
  30. 729
  31. 360000
  32. 2
  33. 0.2
  34. 9
  35. 1/8
  36. 6561
  37. 65536
  38. 540
  39. 1000
  40. 30

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