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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 256 · 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. 1.3.9 × 10⁵ =
  2. 2.What is the value of 2⁶? =
  3. 3.What is the value of 10²? =
  4. 4.What is the value of 7³? =
  5. 5.Write 6.6 × 10⁻² as a decimal. =
  6. 6.Write (5³)⁴ as a single power 5ⁿ. What is n?
  7. 7.What is the value of (1/4)⁻²? =
  8. 8.Write 7.2 × 10⁻¹ as a decimal. =
  9. 9.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?
  10. 10.Write 9⁸ ÷ 9⁴ as a single power 9ⁿ. What is n?
  11. 11.7.6 × 10⁵ =
  12. 12.Write 8.1 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 5¹ × 5⁻¹? =
  14. 14.Write (6⁵)⁵ as a single power 6ⁿ. What is n?
  15. 15.Write 5¹⁷ ÷ 5⁸ as a single power 5ⁿ. What is n?
  16. 16.Write 2.2 × 10⁻⁴ as a decimal. =
  17. 17.What is the value of 10⁴? =
  18. 18.What is the value of 7⁻¹ (as a fraction)? =
  19. 19.What is the value of 3³? =
  20. 20.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
  21. 21.What is the value of 3⁻¹ (as a fraction)? =
  22. 22.7.3 × 10⁴ =
  23. 23.Write (4⁴)² as a single power 4ⁿ. What is n?
  24. 24.Write 6¹⁶ ÷ 6⁹ as a single power 6ⁿ. What is n?
  25. 25.Write 9 × 10⁻³ as a decimal. =
  26. 26.What is the value of (1/8)⁻²? =
  27. 27.What is the value of 10⁶ × 10⁻⁶? =
  28. 28.Write 9¹⁵ ÷ 9⁹ as a single power 9ⁿ. What is n?
  29. 29.What is the value of 2⁵? =
  30. 30.Write (7⁵)² as a single power 7ⁿ. What is n?
  31. 31.What is the value of 10³ × 10⁻⁶? =
  32. 32.Write (2²)⁷ as a single power 2ⁿ. What is n?
  33. 33.4.1 × 10⁷ =
  34. 34.Write (8⁷)² as a single power 8ⁿ. What is n?
  35. 35.What is the value of 3⁵? =
  36. 36.Write 1.3 × 10⁻¹ as a decimal. =
  37. 37.1.8 × 10⁴ =
  38. 38.Write 6.5 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 3¹ × 3⁻³? =
  40. 40.Write (6³)³ as a single power 6ⁿ. What is n?

Answer key

  1. 390000
  2. 64
  3. 100
  4. 343
  5. 0.066
  6. 12
  7. 16
  8. 0.72
  9. 4
  10. 4
  11. 760000
  12. 0.00081
  13. 1
  14. 25
  15. 9
  16. 0.00022
  17. 10000
  18. 1/7
  19. 27
  20. 3
  21. 1/3
  22. 73000
  23. 8
  24. 7
  25. 0.009
  26. 64
  27. 1
  28. 6
  29. 32
  30. 10
  31. 1/1000
  32. 14
  33. 41000000
  34. 14
  35. 243
  36. 0.13
  37. 18000
  38. 0.65
  39. 1/9
  40. 9

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