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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 205 · 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 (3/7)⁻²? =
  2. 2.What is the value of 2⁵? =
  3. 3.Write 5.5 × 10⁻³ as a decimal. =
  4. 4.Write 7.9 × 10⁻² as a decimal. =
  5. 5.What is the value of 3⁵ × 3⁻³? =
  6. 6.What is the value of 2⁶? =
  7. 7.Write 3,200 in standard form as 3.2 × 10ⁿ. What is n?
  8. 8.2.4 × 10³ =
  9. 9.Write 9⁵ × 9⁴ as a single power 9ⁿ. What is n?
  10. 10.What is the value of 5³? =
  11. 11.What is the value of (2/9)⁻¹? =
  12. 12.Write 4.7 × 10⁻³ as a decimal. =
  13. 13.What is the value of 5⁴ × 5⁻³? =
  14. 14.8.9 × 10⁶ =
  15. 15.What is the value of 4⁴? =
  16. 16.Write 71,000 in standard form as 7.1 × 10ⁿ. What is n?
  17. 17.8.3 × 10⁶ =
  18. 18.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?
  19. 19.What is the value of 3⁵ × 3⁻⁶? =
  20. 20.What is the value of 3³ × 3⁻³? =
  21. 21.Write (2⁴)³ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 2¹ × 2⁻³? =
  23. 23.What is the value of 5⁻¹ (as a fraction)? =
  24. 24.What is the value of 10¹ × 10⁻¹? =
  25. 25.8 × 10⁴ =
  26. 26.Write 3¹⁰ ÷ 3² as a single power 3ⁿ. What is n?
  27. 27.What is the value of 5⁶? =
  28. 28.Write (9⁸)² as a single power 9ⁿ. What is n?
  29. 29.Write 5⁸ × 5⁵ as a single power 5ⁿ. What is n?
  30. 30.Write 8.3 × 10⁻³ as a decimal. =
  31. 31.Write 9.6 × 10⁻² as a decimal. =
  32. 32.What is the value of 6⁶? =
  33. 33.Write (2⁴)⁶ as a single power 2ⁿ. What is n?
  34. 34.What is the value of 2⁹? =
  35. 35.2.9 × 10⁴ =
  36. 36.Write 8¹⁷ ÷ 8⁸ as a single power 8ⁿ. What is n?
  37. 37.What is the value of 3¹ × 3⁻³? =
  38. 38.What is the value of 8²? =
  39. 39.Write 3.9 × 10⁻² as a decimal. =
  40. 40.Write 7⁹ ÷ 7² as a single power 7ⁿ. What is n?

Answer key

  1. 49/9
  2. 32
  3. 0.0055
  4. 0.079
  5. 9
  6. 64
  7. 3
  8. 2400
  9. 9
  10. 125
  11. 9/2
  12. 0.0047
  13. 5
  14. 8900000
  15. 256
  16. 4
  17. 8300000
  18. 4
  19. 1/3
  20. 1
  21. 12
  22. 1/4
  23. 1/5
  24. 1
  25. 80000
  26. 8
  27. 15625
  28. 16
  29. 13
  30. 0.0083
  31. 0.096
  32. 46656
  33. 24
  34. 512
  35. 29000
  36. 9
  37. 1/9
  38. 64
  39. 0.039
  40. 7

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