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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 316 · 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 × 5⁻²? =
  2. 2.What is the value of 5⁶ × 5⁻¹? =
  3. 3.Write 4⁴ × 4⁵ as a single power 4ⁿ. What is n?
  4. 4.What is the value of 7⁵? =
  5. 5.Write 2¹⁷ ÷ 2⁸ as a single power 2ⁿ. What is n?
  6. 6.Write 3.7 × 10⁻¹ as a decimal. =
  7. 7.Write 6.9 × 10⁻³ as a decimal. =
  8. 8.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
  9. 9.2.2 × 10⁴ =
  10. 10.What is the value of 2¹⁴? =
  11. 11.Write 6⁹ ÷ 6³ as a single power 6ⁿ. What is n?
  12. 12.Write 4.9 × 10⁻¹ as a decimal. =
  13. 13.Write 44,00,000 in standard form as 4.4 × 10ⁿ. What is n?
  14. 14.Write 3² × 3³ as a single power 3ⁿ. What is n?
  15. 15.What is the value of 2²? =
  16. 16.Write 8¹⁰ ÷ 8³ as a single power 8ⁿ. What is n?
  17. 17.8.5 × 10⁷ =
  18. 18.What is the value of 10² × 10⁻⁴? =
  19. 19.Write 5,90,00,000 in standard form as 5.9 × 10ⁿ. What is n?
  20. 20.2.5 × 10² =
  21. 21.Write 9⁶ × 9⁴ as a single power 9ⁿ. What is n?
  22. 22.What is the value of 10³ × 10⁻⁶? =
  23. 23.Write 5.6 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 7²? =
  25. 25.What is the value of 5¹ × 5⁻³? =
  26. 26.Write 7,300 in standard form as 7.3 × 10ⁿ. What is n?
  27. 27.7.4 × 10³ =
  28. 28.3.2 × 10⁷ =
  29. 29.Write 2.2 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 10⁴ × 10⁻¹? =
  31. 31.Write 30,000 in standard form as 3 × 10ⁿ. What is n?
  32. 32.What is the value of 3³? =
  33. 33.Write 1.6 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 4⁸? =
  35. 35.What is the value of (5/7)⁻²? =
  36. 36.Write 3¹⁰ ÷ 3³ as a single power 3ⁿ. What is n?
  37. 37.Write 3¹⁰ ÷ 3⁸ as a single power 3ⁿ. What is n?
  38. 38.Write 5.5 × 10⁻⁴ as a decimal. =
  39. 39.Write 2,700 in standard form as 2.7 × 10ⁿ. What is n?
  40. 40.What is the value of 2³ × 2⁻²? =

Answer key

  1. 1/5
  2. 3125
  3. 9
  4. 16807
  5. 9
  6. 0.37
  7. 0.0069
  8. 3
  9. 22000
  10. 16384
  11. 6
  12. 0.49
  13. 6
  14. 5
  15. 4
  16. 7
  17. 85000000
  18. 1/100
  19. 7
  20. 250
  21. 10
  22. 1/1000
  23. 0.00056
  24. 49
  25. 1/25
  26. 3
  27. 7400
  28. 32000000
  29. 0.00022
  30. 1000
  31. 4
  32. 27
  33. 0.16
  34. 65536
  35. 49/25
  36. 7
  37. 2
  38. 0.00055
  39. 3
  40. 2

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