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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 203 · 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 (3/8)⁻²? =
  2. 2.Write 7² × 7⁷ as a single power 7ⁿ. What is n?
  3. 3.Write 5¹⁵ ÷ 5⁷ as a single power 5ⁿ. What is n?
  4. 4.What is the value of 10³? =
  5. 5.What is the value of 5⁶? =
  6. 6.What is the value of 10² × 10⁻⁵? =
  7. 7.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  8. 8.4.5 × 10⁵ =
  9. 9.What is the value of 3⁶? =
  10. 10.What is the value of 2³? =
  11. 11.2.3 × 10⁷ =
  12. 12.Write 9⁸ × 9⁹ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 10² × 10⁻⁴? =
  14. 14.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  15. 15.What is the value of 3⁵? =
  16. 16.What is the value of 4⁴? =
  17. 17.What is the value of 2¹³? =
  18. 18.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?
  19. 19.3.2 × 10⁶ =
  20. 20.6.4 × 10⁶ =
  21. 21.What is the value of 10⁶ × 10⁻³? =
  22. 22.What is the value of 2² × 2⁻¹? =
  23. 23.Write 7⁹ × 7⁹ as a single power 7ⁿ. What is n?
  24. 24.What is the value of 2² × 2⁻²? =
  25. 25.Write 79,000 in standard form as 7.9 × 10ⁿ. What is n?
  26. 26.What is the value of 2⁷? =
  27. 27.3.9 × 10⁵ =
  28. 28.What is the value of (4/5)⁻¹? =
  29. 29.Write 2¹⁴ ÷ 2⁶ as a single power 2ⁿ. What is n?
  30. 30.Write 6¹² ÷ 6³ as a single power 6ⁿ. What is n?
  31. 31.What is the value of (5/6)⁻²? =
  32. 32.Write 8⁵ × 8⁸ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 5⁴? =
  34. 34.What is the value of 3⁻⁶ (as a fraction)? =
  35. 35.Write 9.6 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 3⁴ × 3⁻⁵? =
  37. 37.8.3 × 10⁴ =
  38. 38.Write 7² × 7⁸ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 5¹ × 5⁻³? =
  40. 40.What is the value of 2⁵? =

Answer key

  1. 64/9
  2. 9
  3. 8
  4. 1000
  5. 15625
  6. 1/1000
  7. 6
  8. 450000
  9. 729
  10. 8
  11. 23000000
  12. 17
  13. 1/100
  14. 5
  15. 243
  16. 256
  17. 8192
  18. 4
  19. 3200000
  20. 6400000
  21. 1000
  22. 2
  23. 18
  24. 1
  25. 4
  26. 128
  27. 390000
  28. 5/4
  29. 8
  30. 9
  31. 36/25
  32. 13
  33. 625
  34. 1/729
  35. 0.00096
  36. 1/3
  37. 83000
  38. 10
  39. 1/25
  40. 32

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