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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 297 · 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 6⁻³ (as a fraction)? =
  2. 2.What is the value of 7²? =
  3. 3.What is the value of (4/9)⁻²? =
  4. 4.Write 7¹⁷ ÷ 7⁹ as a single power 7ⁿ. What is n?
  5. 5.Write 6 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 2⁶? =
  7. 7.What is the value of 3⁶? =
  8. 8.What is the value of (5/7)⁻²? =
  9. 9.Write 7.7 × 10⁻¹ as a decimal. =
  10. 10.Write 3 × 10⁻² as a decimal. =
  11. 11.What is the value of 5³ × 5⁻¹? =
  12. 12.What is the value of 3⁵ × 3⁻⁵? =
  13. 13.Write 1.6 × 10⁻² as a decimal. =
  14. 14.What is the value of 8⁴? =
  15. 15.Write 1.9 × 10⁻³ as a decimal. =
  16. 16.Write 1,800 in standard form as 1.8 × 10ⁿ. What is n?
  17. 17.What is the value of 2⁵? =
  18. 18.What is the value of 2¹³? =
  19. 19.Write (7⁴)² as a single power 7ⁿ. What is n?
  20. 20.What is the value of 10² × 10⁻⁶? =
  21. 21.What is the value of 10⁵? =
  22. 22.What is the value of 5² × 5⁻⁴? =
  23. 23.Write 85,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  24. 24.Write 2.6 × 10⁻² as a decimal. =
  25. 25.What is the value of 2¹⁶? =
  26. 26.What is the value of 5¹ × 5⁻¹? =
  27. 27.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  28. 28.What is the value of (2/3)⁻²? =
  29. 29.Write 6⁴ × 6⁸ as a single power 6ⁿ. What is n?
  30. 30.What is the value of 10⁶ × 10⁻⁴? =
  31. 31.What is the value of 6⁵? =
  32. 32.8.2 × 10⁴ =
  33. 33.Write 6¹² ÷ 6⁹ as a single power 6ⁿ. What is n?
  34. 34.What is the value of 10³? =
  35. 35.What is the value of 7⁵? =
  36. 36.Write 5.1 × 10⁻³ as a decimal. =
  37. 37.What is the value of 10⁴? =
  38. 38.What is the value of 7³? =
  39. 39.What is the value of 2⁻⁵ (as a fraction)? =
  40. 40.Write 8.1 × 10⁻⁴ as a decimal. =

Answer key

  1. 1/216
  2. 49
  3. 81/16
  4. 8
  5. 0.0006
  6. 64
  7. 729
  8. 49/25
  9. 0.77
  10. 0.03
  11. 25
  12. 1
  13. 0.016
  14. 4096
  15. 0.0019
  16. 3
  17. 32
  18. 8192
  19. 8
  20. 1/10000
  21. 100000
  22. 1/25
  23. 6
  24. 0.026
  25. 65536
  26. 1
  27. 2
  28. 9/4
  29. 12
  30. 100
  31. 7776
  32. 82000
  33. 3
  34. 1000
  35. 16807
  36. 0.0051
  37. 10000
  38. 343
  39. 1/32
  40. 0.00081

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