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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 49 · 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 7³? =
  2. 2.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
  3. 3.Write 3.8 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 8²? =
  5. 5.Write 3.8 × 10⁻³ as a decimal. =
  6. 6.What is the value of 2¹⁶? =
  7. 7.Write 3.5 × 10⁻² as a decimal. =
  8. 8.What is the value of 2¹⁴? =
  9. 9.Write (3²)⁴ as a single power 3ⁿ. What is n?
  10. 10.What is the value of (1/3)⁻¹? =
  11. 11.Write 59,000 in standard form as 5.9 × 10ⁿ. What is n?
  12. 12.Write 3¹² ÷ 3⁸ as a single power 3ⁿ. What is n?
  13. 13.What is the value of (7/9)⁻¹? =
  14. 14.What is the value of (2/5)⁻²? =
  15. 15.Write 3.3 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 2⁵? =
  17. 17.Write 6.7 × 10⁻⁴ as a decimal. =
  18. 18.Write 2.3 × 10⁻¹ as a decimal. =
  19. 19.1.7 × 10³ =
  20. 20.Write 3.6 × 10⁻³ as a decimal. =
  21. 21.Write (9⁴)³ as a single power 9ⁿ. What is n?
  22. 22.What is the value of (1/6)⁻²? =
  23. 23.What is the value of (4/9)⁻²? =
  24. 24.Write 5.7 × 10⁻² as a decimal. =
  25. 25.What is the value of (2/7)⁻¹? =
  26. 26.What is the value of 5⁵ × 5⁻⁵? =
  27. 27.Write (2⁵)² as a single power 2ⁿ. What is n?
  28. 28.Write (2³)⁹ as a single power 2ⁿ. What is n?
  29. 29.Write 1,20,00,000 in standard form as 1.2 × 10ⁿ. What is n?
  30. 30.What is the value of 3⁴ × 3⁻³? =
  31. 31.What is the value of (5/7)⁻¹? =
  32. 32.What is the value of 10⁵? =
  33. 33.Write (8⁶)⁸ as a single power 8ⁿ. What is n?
  34. 34.What is the value of 2⁶ × 2⁻⁶? =
  35. 35.3 × 10⁷ =
  36. 36.Write 2¹⁰ ÷ 2² as a single power 2ⁿ. What is n?
  37. 37.What is the value of 7⁻³ (as a fraction)? =
  38. 38.What is the value of 5²? =
  39. 39.9.6 × 10³ =
  40. 40.What is the value of 5¹ × 5⁻⁵? =

Answer key

  1. 343
  2. 10
  3. 0.38
  4. 64
  5. 0.0038
  6. 65536
  7. 0.035
  8. 16384
  9. 8
  10. 3
  11. 4
  12. 4
  13. 9/7
  14. 25/4
  15. 0.33
  16. 32
  17. 0.00067
  18. 0.23
  19. 1700
  20. 0.0036
  21. 12
  22. 36
  23. 81/16
  24. 0.057
  25. 7/2
  26. 1
  27. 10
  28. 27
  29. 7
  30. 3
  31. 7/5
  32. 100000
  33. 48
  34. 1
  35. 30000000
  36. 8
  37. 1/343
  38. 25
  39. 9600
  40. 1/625

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