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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 956 · 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 4⁶? =
  2. 2.What is the value of (1/9)⁻¹? =
  3. 3.What is the value of 2⁹? =
  4. 4.Write 4⁷ ÷ 4⁴ as a single power 4ⁿ. What is n?
  5. 5.Write 710 in standard form as 7.1 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁻³ (as a fraction)? =
  7. 7.What is the value of 2² × 2⁻²? =
  8. 8.What is the value of 5⁵ × 5⁻²? =
  9. 9.What is the value of 2⁵ × 2⁻⁴? =
  10. 10.Write 4¹³ ÷ 4⁹ as a single power 4ⁿ. What is n?
  11. 11.3.6 × 10² =
  12. 12.Write 9¹⁷ ÷ 9⁸ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 6⁶? =
  14. 14.What is the value of 2¹⁵? =
  15. 15.What is the value of 10³? =
  16. 16.Write 7.8 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 7⁻² (as a fraction)? =
  18. 18.Write 7⁵ × 7⁷ as a single power 7ⁿ. What is n?
  19. 19.Write 8 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 8²? =
  21. 21.Write 8.1 × 10⁻⁴ as a decimal. =
  22. 22.Write 1,900 in standard form as 1.9 × 10ⁿ. What is n?
  23. 23.What is the value of (3/7)⁻¹? =
  24. 24.Write 3.1 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 3⁻² (as a fraction)? =
  26. 26.Write 5,100 in standard form as 5.1 × 10ⁿ. What is n?
  27. 27.5.3 × 10⁶ =
  28. 28.What is the value of (8/9)⁻¹? =
  29. 29.7.4 × 10⁷ =
  30. 30.What is the value of 2⁻⁴ (as a fraction)? =
  31. 31.Write (5⁸)⁴ as a single power 5ⁿ. What is n?
  32. 32.What is the value of 7²? =
  33. 33.What is the value of 2⁵? =
  34. 34.What is the value of (7/8)⁻¹? =
  35. 35.What is the value of 10⁴ × 10⁻²? =
  36. 36.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
  37. 37.Write 2.7 × 10⁻¹ as a decimal. =
  38. 38.Write 3.8 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 10³ × 10⁻²? =
  40. 40.Write 3⁸ × 3⁶ as a single power 3ⁿ. What is n?

Answer key

  1. 4096
  2. 9
  3. 512
  4. 3
  5. 2
  6. 1/8
  7. 1
  8. 125
  9. 2
  10. 4
  11. 360
  12. 9
  13. 46656
  14. 32768
  15. 1000
  16. 0.78
  17. 1/49
  18. 12
  19. 0.8
  20. 64
  21. 0.00081
  22. 3
  23. 7/3
  24. 0.00031
  25. 1/9
  26. 3
  27. 5300000
  28. 9/8
  29. 74000000
  30. 1/16
  31. 32
  32. 49
  33. 32
  34. 8/7
  35. 100
  36. 4
  37. 0.27
  38. 0.38
  39. 10
  40. 14

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