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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 664 · 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 280 in standard form as 2.8 × 10ⁿ. What is n?
  2. 2.What is the value of (7/8)⁻²? =
  3. 3.What is the value of 4⁻² (as a fraction)? =
  4. 4.What is the value of (6/7)⁻²? =
  5. 5.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 5¹ × 5⁻¹? =
  7. 7.9.8 × 10⁵ =
  8. 8.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
  9. 9.Write 5.1 × 10⁻² as a decimal. =
  10. 10.Write 8,800 in standard form as 8.8 × 10ⁿ. What is n?
  11. 11.Write 5¹⁵ ÷ 5⁶ as a single power 5ⁿ. What is n?
  12. 12.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?
  13. 13.Write 4.1 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 5⁴ × 5⁻¹? =
  15. 15.Write 4.9 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 10⁻¹ (as a fraction)? =
  17. 17.Write 2⁵ × 2⁷ as a single power 2ⁿ. What is n?
  18. 18.Write 5.3 × 10⁻⁴ as a decimal. =
  19. 19.What is the value of 4⁶? =
  20. 20.Write 790 in standard form as 7.9 × 10ⁿ. What is n?
  21. 21.What is the value of (1/2)⁻¹? =
  22. 22.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 9⁻³ (as a fraction)? =
  24. 24.Write 9⁵ ÷ 9² as a single power 9ⁿ. What is n?
  25. 25.6.8 × 10² =
  26. 26.What is the value of 6⁻² (as a fraction)? =
  27. 27.Write 4¹² ÷ 4⁸ as a single power 4ⁿ. What is n?
  28. 28.What is the value of (8/9)⁻²? =
  29. 29.What is the value of 3⁻² (as a fraction)? =
  30. 30.2.9 × 10² =
  31. 31.Write 7⁴ × 7² as a single power 7ⁿ. What is n?
  32. 32.Write 8.3 × 10⁻⁴ as a decimal. =
  33. 33.What is the value of (5/7)⁻¹? =
  34. 34.What is the value of 2⁵? =
  35. 35.What is the value of (3/4)⁻²? =
  36. 36.Write 6⁹ × 6⁴ as a single power 6ⁿ. What is n?
  37. 37.Write 42,000 in standard form as 4.2 × 10ⁿ. What is n?
  38. 38.What is the value of 4²? =
  39. 39.What is the value of 9⁻¹ (as a fraction)? =
  40. 40.What is the value of 3³ × 3⁻³? =

Answer key

  1. 2
  2. 64/49
  3. 1/16
  4. 49/36
  5. 48
  6. 1
  7. 980000
  8. 2
  9. 0.051
  10. 3
  11. 9
  12. 6
  13. 0.00041
  14. 125
  15. 0.49
  16. 1/10
  17. 12
  18. 0.00053
  19. 4096
  20. 2
  21. 2
  22. 8
  23. 1/729
  24. 3
  25. 680
  26. 1/36
  27. 4
  28. 81/64
  29. 1/9
  30. 290
  31. 6
  32. 0.00083
  33. 7/5
  34. 32
  35. 16/9
  36. 13
  37. 4
  38. 16
  39. 1/9
  40. 1

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