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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 794 · 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 5¹ × 5⁻⁶? =
  2. 2.2.5 × 10⁵ =
  3. 3.What is the value of 7⁻³ (as a fraction)? =
  4. 4.7.9 × 10² =
  5. 5.What is the value of 9⁻³ (as a fraction)? =
  6. 6.Write 7¹⁶ ÷ 7⁸ as a single power 7ⁿ. What is n?
  7. 7.What is the value of 2²? =
  8. 8.2.8 × 10⁷ =
  9. 9.What is the value of 10⁴? =
  10. 10.Write 6⁷ × 6² as a single power 6ⁿ. What is n?
  11. 11.Write 2.2 × 10⁻⁴ as a decimal. =
  12. 12.What is the value of 3⁵ × 3⁻⁶? =
  13. 13.What is the value of 2⁸? =
  14. 14.What is the value of 10²? =
  15. 15.What is the value of 5⁴? =
  16. 16.What is the value of 9⁵? =
  17. 17.Write 4⁷ ÷ 4² as a single power 4ⁿ. What is n?
  18. 18.2.8 × 10⁶ =
  19. 19.What is the value of 4⁶? =
  20. 20.Write 9.6 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 3³? =
  22. 22.7.8 × 10⁴ =
  23. 23.Write 50,000 in standard form as 5 × 10ⁿ. What is n?
  24. 24.What is the value of 2¹ × 2⁻³? =
  25. 25.Write 9⁷ ÷ 9⁵ as a single power 9ⁿ. What is n?
  26. 26.Write 3¹¹ ÷ 3³ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 5⁶? =
  28. 28.What is the value of (6/7)⁻¹? =
  29. 29.Write 7.4 × 10⁻² as a decimal. =
  30. 30.Write 8⁹ ÷ 8⁷ as a single power 8ⁿ. What is n?
  31. 31.What is the value of (1/6)⁻¹? =
  32. 32.What is the value of 2¹ × 2⁻¹? =
  33. 33.What is the value of 7⁵? =
  34. 34.What is the value of 3⁵ × 3⁻³? =
  35. 35.What is the value of 10² × 10⁻⁴? =
  36. 36.What is the value of 2⁶? =
  37. 37.What is the value of 2⁻³ (as a fraction)? =
  38. 38.Write (5⁴)⁵ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 4³? =
  40. 40.Write 3⁷ × 3⁷ as a single power 3ⁿ. What is n?

Answer key

  1. 1/3125
  2. 250000
  3. 1/343
  4. 790
  5. 1/729
  6. 8
  7. 4
  8. 28000000
  9. 10000
  10. 9
  11. 0.00022
  12. 1/3
  13. 256
  14. 100
  15. 625
  16. 59049
  17. 5
  18. 2800000
  19. 4096
  20. 0.96
  21. 27
  22. 78000
  23. 4
  24. 1/4
  25. 2
  26. 8
  27. 15625
  28. 7/6
  29. 0.074
  30. 2
  31. 6
  32. 1
  33. 16807
  34. 9
  35. 1/100
  36. 64
  37. 1/8
  38. 20
  39. 64
  40. 14

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