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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 360 · 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. 1.1.8 × 10² =
  2. 2.What is the value of (1/7)⁻¹? =
  3. 3.What is the value of 3¹ × 3⁻¹? =
  4. 4.5.4 × 10⁴ =
  5. 5.Write 19,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  6. 6.What is the value of 3⁴? =
  7. 7.Write 1.4 × 10⁻³ as a decimal. =
  8. 8.Write 3¹³ ÷ 3⁷ as a single power 3ⁿ. What is n?
  9. 9.Write 8⁷ ÷ 8² as a single power 8ⁿ. What is n?
  10. 10.What is the value of 5⁻⁴ (as a fraction)? =
  11. 11.Write 48,000 in standard form as 4.8 × 10ⁿ. What is n?
  12. 12.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  13. 13.Write 8.7 × 10⁻³ as a decimal. =
  14. 14.Write 6.8 × 10⁻⁴ as a decimal. =
  15. 15.9.9 × 10⁶ =
  16. 16.What is the value of (1/4)⁻²? =
  17. 17.What is the value of 3⁻¹ (as a fraction)? =
  18. 18.Write 4.7 × 10⁻³ as a decimal. =
  19. 19.What is the value of 2¹ × 2⁻³? =
  20. 20.Write 1,10,000 in standard form as 1.1 × 10ⁿ. What is n?
  21. 21.Write 4.5 × 10⁻³ as a decimal. =
  22. 22.Write 7,300 in standard form as 7.3 × 10ⁿ. What is n?
  23. 23.What is the value of 3⁻⁶ (as a fraction)? =
  24. 24.What is the value of 6⁴? =
  25. 25.What is the value of 5⁴ × 5⁻³? =
  26. 26.Write 8¹¹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  27. 27.Write 1.9 × 10⁻⁴ as a decimal. =
  28. 28.Write 9.7 × 10⁻² as a decimal. =
  29. 29.Write 52,000 in standard form as 5.2 × 10ⁿ. What is n?
  30. 30.What is the value of (4/9)⁻¹? =
  31. 31.What is the value of 3⁻⁵ (as a fraction)? =
  32. 32.What is the value of 9²? =
  33. 33.Write 7⁹ ÷ 7⁴ as a single power 7ⁿ. What is n?
  34. 34.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
  35. 35.Write 3.1 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 2¹²? =
  37. 37.What is the value of 5⁷? =
  38. 38.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  39. 39.What is the value of 3⁴ × 3⁻⁵? =
  40. 40.6.1 × 10⁶ =

Answer key

  1. 180
  2. 7
  3. 1
  4. 54000
  5. 6
  6. 81
  7. 0.0014
  8. 6
  9. 5
  10. 1/625
  11. 4
  12. 4
  13. 0.0087
  14. 0.00068
  15. 9900000
  16. 16
  17. 1/3
  18. 0.0047
  19. 1/4
  20. 5
  21. 0.0045
  22. 3
  23. 1/729
  24. 1296
  25. 5
  26. 7
  27. 0.00019
  28. 0.097
  29. 4
  30. 9/4
  31. 1/243
  32. 81
  33. 5
  34. 8
  35. 0.31
  36. 4096
  37. 78125
  38. 3
  39. 1/3
  40. 6100000

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