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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 738 · 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 4⁴? =
  2. 2.What is the value of 3² × 3⁻¹? =
  3. 3.What is the value of 5¹ × 5⁻²? =
  4. 4.Write 5⁸ × 5³ as a single power 5ⁿ. What is n?
  5. 5.What is the value of 5⁵ × 5⁻⁵? =
  6. 6.6.3 × 10⁶ =
  7. 7.Write 6⁴ × 6⁴ as a single power 6ⁿ. What is n?
  8. 8.Write (9⁵)⁵ as a single power 9ⁿ. What is n?
  9. 9.Write 4.4 × 10⁻² as a decimal. =
  10. 10.What is the value of (1/8)⁻¹? =
  11. 11.Write 6³ × 6³ as a single power 6ⁿ. What is n?
  12. 12.What is the value of 2⁹? =
  13. 13.Write (3⁵)⁷ as a single power 3ⁿ. What is n?
  14. 14.Write 3.5 × 10⁻³ as a decimal. =
  15. 15.3.1 × 10⁵ =
  16. 16.What is the value of 2¹ × 2⁻¹? =
  17. 17.What is the value of 7⁴? =
  18. 18.Write 6² × 6² as a single power 6ⁿ. What is n?
  19. 19.Write 6 × 10⁻⁴ as a decimal. =
  20. 20.What is the value of (2/5)⁻²? =
  21. 21.What is the value of 2⁴ × 2⁻²? =
  22. 22.What is the value of 5⁻⁴ (as a fraction)? =
  23. 23.Write 1,50,000 in standard form as 1.5 × 10ⁿ. What is n?
  24. 24.What is the value of 5⁻¹ (as a fraction)? =
  25. 25.Write 9.2 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 3⁻³ (as a fraction)? =
  27. 27.What is the value of 4⁶? =
  28. 28.Write 7⁹ × 7⁴ as a single power 7ⁿ. What is n?
  29. 29.Write 3,50,000 in standard form as 3.5 × 10ⁿ. What is n?
  30. 30.Write 3.8 × 10⁻² as a decimal. =
  31. 31.What is the value of 2⁷? =
  32. 32.Write 2.1 × 10⁻¹ as a decimal. =
  33. 33.Write 9⁹ ÷ 9⁶ as a single power 9ⁿ. What is n?
  34. 34.Write 9⁸ × 9⁴ as a single power 9ⁿ. What is n?
  35. 35.What is the value of 5⁴ × 5⁻⁶? =
  36. 36.What is the value of 5⁻³ (as a fraction)? =
  37. 37.Write 3.3 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 4⁸? =
  39. 39.Write 6¹² ÷ 6⁷ as a single power 6ⁿ. What is n?
  40. 40.What is the value of 10³? =

Answer key

  1. 256
  2. 3
  3. 1/5
  4. 11
  5. 1
  6. 6300000
  7. 8
  8. 25
  9. 0.044
  10. 8
  11. 6
  12. 512
  13. 35
  14. 0.0035
  15. 310000
  16. 1
  17. 2401
  18. 4
  19. 0.0006
  20. 25/4
  21. 4
  22. 1/625
  23. 5
  24. 1/5
  25. 0.00092
  26. 1/27
  27. 4096
  28. 13
  29. 5
  30. 0.038
  31. 128
  32. 0.21
  33. 3
  34. 12
  35. 1/25
  36. 1/125
  37. 0.33
  38. 65536
  39. 5
  40. 1000

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