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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 307 · 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.Write (9⁹)⁴ as a single power 9ⁿ. What is n?
  2. 2.What is the value of 7²? =
  3. 3.Write 5.7 × 10⁻¹ as a decimal. =
  4. 4.What is the value of (5/8)⁻¹? =
  5. 5.What is the value of 2¹⁰? =
  6. 6.Write (3⁹)³ as a single power 3ⁿ. What is n?
  7. 7.Write 7.7 × 10⁻³ as a decimal. =
  8. 8.What is the value of 10² × 10⁻⁴? =
  9. 9.Write 8.2 × 10⁻³ as a decimal. =
  10. 10.What is the value of (2/3)⁻¹? =
  11. 11.What is the value of 10⁵? =
  12. 12.What is the value of 3²? =
  13. 13.Write 2.7 × 10⁻² as a decimal. =
  14. 14.Write 7⁸ ÷ 7⁴ as a single power 7ⁿ. What is n?
  15. 15.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  16. 16.What is the value of 4⁴? =
  17. 17.What is the value of 3² × 3⁻⁵? =
  18. 18.Write 9¹⁰ ÷ 9⁶ as a single power 9ⁿ. What is n?
  19. 19.Write 6.3 × 10⁻¹ as a decimal. =
  20. 20.Write (2⁸)⁴ as a single power 2ⁿ. What is n?
  21. 21.What is the value of 2¹²? =
  22. 22.Write 2.6 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 2⁹? =
  24. 24.Write 1.5 × 10⁻¹ as a decimal. =
  25. 25.Write (5²)⁵ as a single power 5ⁿ. What is n?
  26. 26.What is the value of 10⁻¹ (as a fraction)? =
  27. 27.What is the value of 2³ × 2⁻⁶? =
  28. 28.2.4 × 10⁵ =
  29. 29.Write 3,20,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  30. 30.Write 8⁷ × 8⁸ as a single power 8ⁿ. What is n?
  31. 31.Write (7³)³ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 3⁻¹ (as a fraction)? =
  33. 33.What is the value of 10² × 10⁻¹? =
  34. 34.What is the value of 5⁶? =
  35. 35.Write 3¹⁴ ÷ 3⁸ as a single power 3ⁿ. What is n?
  36. 36.What is the value of 2³ × 2⁻⁴? =
  37. 37.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 10⁴ × 10⁻²? =
  39. 39.What is the value of 3² × 3⁻⁶? =
  40. 40.What is the value of 3⁷? =

Answer key

  1. 36
  2. 49
  3. 0.57
  4. 8/5
  5. 1024
  6. 27
  7. 0.0077
  8. 1/100
  9. 0.0082
  10. 3/2
  11. 100000
  12. 9
  13. 0.027
  14. 4
  15. 3
  16. 256
  17. 1/27
  18. 4
  19. 0.63
  20. 32
  21. 4096
  22. 0.00026
  23. 512
  24. 0.15
  25. 10
  26. 1/10
  27. 1/8
  28. 240000
  29. 7
  30. 15
  31. 9
  32. 1/3
  33. 10
  34. 15625
  35. 6
  36. 1/2
  37. 4
  38. 100
  39. 1/81
  40. 2187

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