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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 896 · 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 7⁴? =
  2. 2.What is the value of (8/9)⁻¹? =
  3. 3.Write 8.7 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 2⁻⁵ (as a fraction)? =
  5. 5.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  6. 6.Write 6⁷ × 6⁹ as a single power 6ⁿ. What is n?
  7. 7.What is the value of (4/5)⁻¹? =
  8. 8.What is the value of (1/3)⁻¹? =
  9. 9.Write 5,00,00,000 in standard form as 5 × 10ⁿ. What is n?
  10. 10.What is the value of 5⁵ × 5⁻⁶? =
  11. 11.Write (8⁵)⁹ as a single power 8ⁿ. What is n?
  12. 12.Write (4⁹)⁴ as a single power 4ⁿ. What is n?
  13. 13.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
  14. 14.Write 3³ × 3² as a single power 3ⁿ. What is n?
  15. 15.What is the value of 2¹⁴? =
  16. 16.What is the value of 4⁻³ (as a fraction)? =
  17. 17.Write 2.2 × 10⁻¹ as a decimal. =
  18. 18.Write 2 × 10⁻¹ as a decimal. =
  19. 19.What is the value of 6⁻¹ (as a fraction)? =
  20. 20.What is the value of 10⁴? =
  21. 21.What is the value of 2¹²? =
  22. 22.What is the value of (4/7)⁻¹? =
  23. 23.What is the value of 2¹¹? =
  24. 24.Write 4⁷ × 4⁵ as a single power 4ⁿ. What is n?
  25. 25.Write 2.5 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 2⁷? =
  27. 27.What is the value of (1/5)⁻¹? =
  28. 28.What is the value of 2² × 2⁻¹? =
  29. 29.What is the value of 6⁻³ (as a fraction)? =
  30. 30.What is the value of 2⁻⁷ (as a fraction)? =
  31. 31.What is the value of 3³ × 3⁻²? =
  32. 32.What is the value of 5³ × 5⁻⁵? =
  33. 33.What is the value of 10⁴ × 10⁻²? =
  34. 34.Write 2³ × 2² as a single power 2ⁿ. What is n?
  35. 35.What is the value of 8⁻¹ (as a fraction)? =
  36. 36.Write 6.5 × 10⁻¹ as a decimal. =
  37. 37.9.9 × 10⁴ =
  38. 38.Write 2.3 × 10⁻¹ as a decimal. =
  39. 39.5.8 × 10⁴ =
  40. 40.What is the value of 10⁶ × 10⁻²? =

Answer key

  1. 2401
  2. 9/8
  3. 0.87
  4. 1/32
  5. 6
  6. 16
  7. 5/4
  8. 3
  9. 7
  10. 1/5
  11. 45
  12. 36
  13. 6
  14. 5
  15. 16384
  16. 1/64
  17. 0.22
  18. 0.2
  19. 1/6
  20. 10000
  21. 4096
  22. 7/4
  23. 2048
  24. 12
  25. 0.00025
  26. 128
  27. 5
  28. 2
  29. 1/216
  30. 1/128
  31. 3
  32. 1/25
  33. 100
  34. 5
  35. 1/8
  36. 0.65
  37. 99000
  38. 0.23
  39. 58000
  40. 10000

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