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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 690 · 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. 1.6.9 × 10² =
  2. 2.Write 9.1 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 10²? =
  4. 4.Write 6.2 × 10⁻³ as a decimal. =
  5. 5.What is the value of 2⁻⁹ (as a fraction)? =
  6. 6.Write (8⁵)⁹ as a single power 8ⁿ. What is n?
  7. 7.Write 2² × 2⁵ as a single power 2ⁿ. What is n?
  8. 8.Write 3,70,00,000 in standard form as 3.7 × 10ⁿ. What is n?
  9. 9.What is the value of 9²? =
  10. 10.What is the value of 10⁶ × 10⁻³? =
  11. 11.What is the value of 2² × 2⁻³? =
  12. 12.What is the value of 3⁵? =
  13. 13.What is the value of 10¹ × 10⁻⁶? =
  14. 14.Write 1.9 × 10⁻³ as a decimal. =
  15. 15.What is the value of 3³? =
  16. 16.3.9 × 10⁵ =
  17. 17.What is the value of (8/9)⁻¹? =
  18. 18.What is the value of 3⁻³ (as a fraction)? =
  19. 19.What is the value of (1/2)⁻²? =
  20. 20.What is the value of 7⁻³ (as a fraction)? =
  21. 21.What is the value of 10³? =
  22. 22.8.9 × 10² =
  23. 23.Write (9⁵)⁴ as a single power 9ⁿ. What is n?
  24. 24.Write 1.9 × 10⁻⁴ as a decimal. =
  25. 25.Write 6⁵ × 6⁹ as a single power 6ⁿ. What is n?
  26. 26.Write 4⁴ × 4⁴ as a single power 4ⁿ. What is n?
  27. 27.What is the value of 5⁵? =
  28. 28.What is the value of (1/6)⁻¹? =
  29. 29.What is the value of 4⁻² (as a fraction)? =
  30. 30.Write 3⁵ × 3² as a single power 3ⁿ. What is n?
  31. 31.What is the value of 5² × 5⁻⁵? =
  32. 32.3.5 × 10⁷ =
  33. 33.What is the value of 2² × 2⁻⁶? =
  34. 34.What is the value of 5⁻³ (as a fraction)? =
  35. 35.What is the value of 10⁶ × 10⁻⁴? =
  36. 36.What is the value of 3⁷? =
  37. 37.What is the value of 5⁻² (as a fraction)? =
  38. 38.5.8 × 10³ =
  39. 39.What is the value of 3⁻² (as a fraction)? =
  40. 40.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?

Answer key

  1. 690
  2. 0.00091
  3. 100
  4. 0.0062
  5. 1/512
  6. 45
  7. 7
  8. 7
  9. 81
  10. 1000
  11. 1/2
  12. 243
  13. 1/100000
  14. 0.0019
  15. 27
  16. 390000
  17. 9/8
  18. 1/27
  19. 4
  20. 1/343
  21. 1000
  22. 890
  23. 20
  24. 0.00019
  25. 14
  26. 8
  27. 3125
  28. 6
  29. 1/16
  30. 7
  31. 1/125
  32. 35000000
  33. 1/16
  34. 1/125
  35. 100
  36. 2187
  37. 1/25
  38. 5800
  39. 1/9
  40. 8

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