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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 476 · 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. 1.7.6 × 10⁴ =
  2. 2.Write 6¹⁶ ÷ 6⁹ as a single power 6ⁿ. What is n?
  3. 3.Write 430 in standard form as 4.3 × 10ⁿ. What is n?
  4. 4.What is the value of 3² × 3⁻¹? =
  5. 5.What is the value of 7⁵? =
  6. 6.What is the value of 5¹ × 5⁻⁴? =
  7. 7.What is the value of 7⁻³ (as a fraction)? =
  8. 8.What is the value of 8⁻¹ (as a fraction)? =
  9. 9.What is the value of 10² × 10⁻³? =
  10. 10.What is the value of 2¹⁶? =
  11. 11.What is the value of 9²? =
  12. 12.2.1 × 10⁵ =
  13. 13.Write 9.3 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 5⁴ × 5⁻⁴? =
  15. 15.6.2 × 10³ =
  16. 16.Write 8⁴ × 8⁸ as a single power 8ⁿ. What is n?
  17. 17.What is the value of (4/9)⁻²? =
  18. 18.Write 1.3 × 10⁻³ as a decimal. =
  19. 19.What is the value of 3⁶ × 3⁻³? =
  20. 20.Write 1.4 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 10¹ × 10⁻³? =
  22. 22.Write 1.2 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 5⁻² (as a fraction)? =
  24. 24.Write 4.2 × 10⁻² as a decimal. =
  25. 25.What is the value of 5¹ × 5⁻²? =
  26. 26.Write 4⁸ × 4⁷ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 3⁻² (as a fraction)? =
  28. 28.2.1 × 10⁶ =
  29. 29.What is the value of (1/3)⁻¹? =
  30. 30.What is the value of 10² × 10⁻⁶? =
  31. 31.Write 2² × 2² as a single power 2ⁿ. What is n?
  32. 32.Write (6⁹)³ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 4⁸? =
  34. 34.7.7 × 10⁵ =
  35. 35.What is the value of (3/7)⁻¹? =
  36. 36.What is the value of 3⁷? =
  37. 37.Write (4⁵)⁵ as a single power 4ⁿ. What is n?
  38. 38.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  39. 39.What is the value of 2⁵? =
  40. 40.What is the value of (1/2)⁻¹? =

Answer key

  1. 76000
  2. 7
  3. 2
  4. 3
  5. 16807
  6. 1/125
  7. 1/343
  8. 1/8
  9. 1/10
  10. 65536
  11. 81
  12. 210000
  13. 0.00093
  14. 1
  15. 6200
  16. 12
  17. 81/16
  18. 0.0013
  19. 27
  20. 0.14
  21. 1/100
  22. 0.00012
  23. 1/25
  24. 0.042
  25. 1/5
  26. 15
  27. 1/9
  28. 2100000
  29. 3
  30. 1/10000
  31. 4
  32. 27
  33. 65536
  34. 770000
  35. 7/3
  36. 2187
  37. 25
  38. 8
  39. 32
  40. 2

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