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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 361 · 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 2⁻⁶ (as a fraction)? =
  2. 2.What is the value of (5/6)⁻²? =
  3. 3.What is the value of 8³? =
  4. 4.What is the value of 2⁻⁵ (as a fraction)? =
  5. 5.What is the value of 3⁴? =
  6. 6.Write 6.7 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of (5/8)⁻¹? =
  8. 8.What is the value of 7⁴? =
  9. 9.What is the value of 5⁴ × 5⁻³? =
  10. 10.What is the value of 5⁴ × 5⁻⁴? =
  11. 11.What is the value of 5⁶ × 5⁻³? =
  12. 12.2.2 × 10⁷ =
  13. 13.What is the value of (4/5)⁻¹? =
  14. 14.What is the value of 3⁻⁴ (as a fraction)? =
  15. 15.What is the value of (8/9)⁻²? =
  16. 16.Write 3⁴ × 3³ as a single power 3ⁿ. What is n?
  17. 17.Write 8¹⁵ ÷ 8⁸ as a single power 8ⁿ. What is n?
  18. 18.Write (3²)⁵ as a single power 3ⁿ. What is n?
  19. 19.What is the value of 3³? =
  20. 20.Write 8.9 × 10⁻² as a decimal. =
  21. 21.What is the value of 2⁹? =
  22. 22.What is the value of 5⁶ × 5⁻²? =
  23. 23.What is the value of 5⁻⁴ (as a fraction)? =
  24. 24.Write 5 × 10⁻¹ as a decimal. =
  25. 25.Write 6.9 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 10⁵? =
  27. 27.What is the value of 5² × 5⁻³? =
  28. 28.What is the value of 10⁵ × 10⁻⁶? =
  29. 29.Write 2⁴ × 2³ as a single power 2ⁿ. What is n?
  30. 30.Write 7 × 10⁻² as a decimal. =
  31. 31.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  32. 32.What is the value of 5⁷? =
  33. 33.Write 5.8 × 10⁻¹ as a decimal. =
  34. 34.Write (6⁷)³ as a single power 6ⁿ. What is n?
  35. 35.Write 6.3 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 9⁻¹ (as a fraction)? =
  37. 37.What is the value of (7/8)⁻¹? =
  38. 38.2.5 × 10² =
  39. 39.Write 4 × 10⁻² as a decimal. =
  40. 40.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?

Answer key

  1. 1/64
  2. 36/25
  3. 512
  4. 1/32
  5. 81
  6. 0.00067
  7. 8/5
  8. 2401
  9. 5
  10. 1
  11. 125
  12. 22000000
  13. 5/4
  14. 1/81
  15. 81/64
  16. 7
  17. 7
  18. 10
  19. 27
  20. 0.089
  21. 512
  22. 625
  23. 1/625
  24. 0.5
  25. 0.69
  26. 100000
  27. 1/5
  28. 1/10
  29. 7
  30. 0.07
  31. 6
  32. 78125
  33. 0.58
  34. 21
  35. 0.63
  36. 1/9
  37. 8/7
  38. 250
  39. 0.04
  40. 6

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