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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 730 · 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 7²? =
  2. 2.What is the value of 5¹ × 5⁻³? =
  3. 3.Write 32,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  4. 4.What is the value of (1/9)⁻¹? =
  5. 5.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
  6. 6.What is the value of 10⁴ × 10⁻¹? =
  7. 7.What is the value of 5² × 5⁻³? =
  8. 8.Write (8⁴)⁶ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 5⁴ × 5⁻¹? =
  10. 10.What is the value of 3⁹? =
  11. 11.What is the value of 2¹⁴? =
  12. 12.Write 3,700 in standard form as 3.7 × 10ⁿ. What is n?
  13. 13.What is the value of (7/9)⁻¹? =
  14. 14.What is the value of 3²? =
  15. 15.4 × 10² =
  16. 16.What is the value of 2⁵ × 2⁻¹? =
  17. 17.What is the value of 7⁻³ (as a fraction)? =
  18. 18.Write 6.7 × 10⁻¹ as a decimal. =
  19. 19.Write 2¹⁴ ÷ 2⁵ as a single power 2ⁿ. What is n?
  20. 20.What is the value of 2⁻³ (as a fraction)? =
  21. 21.Write 850 in standard form as 8.5 × 10ⁿ. What is n?
  22. 22.Write 2.5 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 5⁶? =
  24. 24.Write 89,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  25. 25.Write 3.3 × 10⁻¹ as a decimal. =
  26. 26.Write 6.4 × 10⁻⁴ as a decimal. =
  27. 27.Write 18,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  28. 28.Write 320 in standard form as 3.2 × 10ⁿ. What is n?
  29. 29.What is the value of 5⁵? =
  30. 30.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
  31. 31.Write (9⁵)³ as a single power 9ⁿ. What is n?
  32. 32.What is the value of 3⁶? =
  33. 33.Write 7² × 7⁴ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 10⁵? =
  35. 35.Write 7⁹ ÷ 7⁵ as a single power 7ⁿ. What is n?
  36. 36.7.6 × 10³ =
  37. 37.Write 8¹⁵ ÷ 8⁸ as a single power 8ⁿ. What is n?
  38. 38.What is the value of (1/6)⁻²? =
  39. 39.Write 7.7 × 10⁻¹ as a decimal. =
  40. 40.What is the value of 10⁴ × 10⁻³? =

Answer key

  1. 49
  2. 1/25
  3. 6
  4. 9
  5. 3
  6. 1000
  7. 1/5
  8. 24
  9. 125
  10. 19683
  11. 16384
  12. 3
  13. 9/7
  14. 9
  15. 400
  16. 16
  17. 1/343
  18. 0.67
  19. 9
  20. 1/8
  21. 2
  22. 0.00025
  23. 15625
  24. 6
  25. 0.33
  26. 0.00064
  27. 6
  28. 2
  29. 3125
  30. 2
  31. 15
  32. 729
  33. 6
  34. 100000
  35. 4
  36. 7600
  37. 7
  38. 36
  39. 0.77
  40. 10

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