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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 442 · 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.Write 5¹¹ ÷ 5⁷ as a single power 5ⁿ. What is n?
  2. 2.Write (7⁷)⁸ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2¹²? =
  4. 4.What is the value of 2⁵ × 2⁻¹? =
  5. 5.7.9 × 10⁶ =
  6. 6.Write 4 × 10⁻⁴ as a decimal. =
  7. 7.9.5 × 10⁶ =
  8. 8.Write 5.2 × 10⁻² as a decimal. =
  9. 9.Write 4⁴ × 4⁸ as a single power 4ⁿ. What is n?
  10. 10.Write 9,40,000 in standard form as 9.4 × 10ⁿ. What is n?
  11. 11.What is the value of (7/9)⁻²? =
  12. 12.What is the value of (2/9)⁻¹? =
  13. 13.Write 9.6 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 10¹ × 10⁻⁴? =
  15. 15.What is the value of 2³ × 2⁻²? =
  16. 16.What is the value of 3¹⁰? =
  17. 17.What is the value of (3/7)⁻²? =
  18. 18.5.3 × 10² =
  19. 19.Write 45,000 in standard form as 4.5 × 10ⁿ. What is n?
  20. 20.Write (7⁶)² as a single power 7ⁿ. What is n?
  21. 21.What is the value of 10⁵ × 10⁻²? =
  22. 22.What is the value of 10⁶ × 10⁻⁶? =
  23. 23.Write 8 × 10⁻³ as a decimal. =
  24. 24.What is the value of 3¹ × 3⁻⁴? =
  25. 25.What is the value of 6²? =
  26. 26.What is the value of 2⁴ × 2⁻⁵? =
  27. 27.What is the value of 10⁵? =
  28. 28.Write 1.1 × 10⁻³ as a decimal. =
  29. 29.Write 4.3 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 10¹ × 10⁻³? =
  31. 31.Write 9.3 × 10⁻² as a decimal. =
  32. 32.What is the value of (7/9)⁻¹? =
  33. 33.What is the value of (1/2)⁻¹? =
  34. 34.What is the value of (3/8)⁻¹? =
  35. 35.Write 7.8 × 10⁻¹ as a decimal. =
  36. 36.Write 9,60,00,000 in standard form as 9.6 × 10ⁿ. What is n?
  37. 37.What is the value of 2⁴ × 2⁻²? =
  38. 38.What is the value of 2³ × 2⁻⁴? =
  39. 39.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
  40. 40.Write 8.2 × 10⁻² as a decimal. =

Answer key

  1. 4
  2. 56
  3. 4096
  4. 16
  5. 7900000
  6. 0.0004
  7. 9500000
  8. 0.052
  9. 12
  10. 5
  11. 81/49
  12. 9/2
  13. 0.00096
  14. 1/1000
  15. 2
  16. 59049
  17. 49/9
  18. 530
  19. 4
  20. 12
  21. 1000
  22. 1
  23. 0.008
  24. 1/27
  25. 36
  26. 1/2
  27. 100000
  28. 0.0011
  29. 0.00043
  30. 1/100
  31. 0.093
  32. 9/7
  33. 2
  34. 8/3
  35. 0.78
  36. 7
  37. 4
  38. 1/2
  39. 6
  40. 0.082

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