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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 620 · 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 2⁶ × 2⁻¹? =
  2. 2.Write 8⁸ × 8⁷ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 5⁻⁴ (as a fraction)? =
  4. 4.7.2 × 10⁶ =
  5. 5.What is the value of 3⁵? =
  6. 6.What is the value of 2⁵ × 2⁻⁴? =
  7. 7.Write 8 × 10⁻⁴ as a decimal. =
  8. 8.Write 9⁶ ÷ 9⁴ as a single power 9ⁿ. What is n?
  9. 9.Write 2.3 × 10⁻³ as a decimal. =
  10. 10.What is the value of 9³? =
  11. 11.Write 9.2 × 10⁻¹ as a decimal. =
  12. 12.Write 5¹² ÷ 5⁸ as a single power 5ⁿ. What is n?
  13. 13.What is the value of 4⁻⁴ (as a fraction)? =
  14. 14.7.2 × 10⁷ =
  15. 15.What is the value of 6³? =
  16. 16.What is the value of 5² × 5⁻²? =
  17. 17.What is the value of (1/4)⁻¹? =
  18. 18.Write 6¹¹ ÷ 6² as a single power 6ⁿ. What is n?
  19. 19.Write 6³ × 6² as a single power 6ⁿ. What is n?
  20. 20.What is the value of 3² × 3⁻⁴? =
  21. 21.Write 3⁵ × 3⁸ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 4²? =
  23. 23.Write 8¹³ ÷ 8⁸ as a single power 8ⁿ. What is n?
  24. 24.Write 2⁹ ÷ 2³ as a single power 2ⁿ. What is n?
  25. 25.Write 8⁵ × 8² as a single power 8ⁿ. What is n?
  26. 26.Write 4⁸ × 4⁸ as a single power 4ⁿ. What is n?
  27. 27.Write (6⁵)² as a single power 6ⁿ. What is n?
  28. 28.Write 3,700 in standard form as 3.7 × 10ⁿ. What is n?
  29. 29.What is the value of (3/7)⁻¹? =
  30. 30.What is the value of 3⁶ × 3⁻³? =
  31. 31.Write 2 × 10⁻² as a decimal. =
  32. 32.What is the value of 3⁷? =
  33. 33.What is the value of (5/7)⁻²? =
  34. 34.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  35. 35.Write 43,00,000 in standard form as 4.3 × 10ⁿ. What is n?
  36. 36.What is the value of 7³? =
  37. 37.Write 9.5 × 10⁻³ as a decimal. =
  38. 38.What is the value of 6⁴? =
  39. 39.Write 2.5 × 10⁻⁴ as a decimal. =
  40. 40.Write 63,000 in standard form as 6.3 × 10ⁿ. What is n?

Answer key

  1. 32
  2. 15
  3. 1/625
  4. 7200000
  5. 243
  6. 2
  7. 0.0008
  8. 2
  9. 0.0023
  10. 729
  11. 0.92
  12. 4
  13. 1/256
  14. 72000000
  15. 216
  16. 1
  17. 4
  18. 9
  19. 5
  20. 1/9
  21. 13
  22. 16
  23. 5
  24. 6
  25. 7
  26. 16
  27. 10
  28. 3
  29. 7/3
  30. 27
  31. 0.02
  32. 2187
  33. 49/25
  34. 4
  35. 6
  36. 343
  37. 0.0095
  38. 1296
  39. 0.00025
  40. 4

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