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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 125 · 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 9¹³ ÷ 9⁵ as a single power 9ⁿ. What is n?
  2. 2.Write (8⁸)³ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 9⁻¹ (as a fraction)? =
  4. 4.What is the value of 8⁴? =
  5. 5.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  6. 6.What is the value of 6⁵? =
  7. 7.Write 3.6 × 10⁻⁴ as a decimal. =
  8. 8.What is the value of (1/5)⁻¹? =
  9. 9.Write 6⁸ ÷ 6⁶ as a single power 6ⁿ. What is n?
  10. 10.Write 7.1 × 10⁻¹ as a decimal. =
  11. 11.What is the value of 2⁶ × 2⁻²? =
  12. 12.Write 3,00,000 in standard form as 3 × 10ⁿ. What is n?
  13. 13.3.7 × 10⁵ =
  14. 14.What is the value of 10¹ × 10⁻¹? =
  15. 15.What is the value of 5⁷? =
  16. 16.5.8 × 10⁵ =
  17. 17.Write 9.2 × 10⁻² as a decimal. =
  18. 18.Write 2,700 in standard form as 2.7 × 10ⁿ. What is n?
  19. 19.What is the value of 2³ × 2⁻²? =
  20. 20.Write (3²)⁶ as a single power 3ⁿ. What is n?
  21. 21.What is the value of (5/7)⁻²? =
  22. 22.Write 3,600 in standard form as 3.6 × 10ⁿ. What is n?
  23. 23.What is the value of (2/3)⁻¹? =
  24. 24.Write 1.8 × 10⁻¹ as a decimal. =
  25. 25.Write 6 × 10⁻⁴ as a decimal. =
  26. 26.What is the value of 5⁻⁴ (as a fraction)? =
  27. 27.Write 9² × 9⁵ as a single power 9ⁿ. What is n?
  28. 28.Write 1.7 × 10⁻⁴ as a decimal. =
  29. 29.Write 3¹⁶ ÷ 3⁷ as a single power 3ⁿ. What is n?
  30. 30.Write 6² × 6⁵ as a single power 6ⁿ. What is n?
  31. 31.What is the value of 2⁵? =
  32. 32.What is the value of (7/8)⁻¹? =
  33. 33.What is the value of (2/5)⁻¹? =
  34. 34.What is the value of 6⁴? =
  35. 35.What is the value of 5⁶? =
  36. 36.What is the value of 2⁻¹ (as a fraction)? =
  37. 37.What is the value of 9²? =
  38. 38.Write 1.3 × 10⁻³ as a decimal. =
  39. 39.What is the value of 2¹ × 2⁻³? =
  40. 40.Write 4¹² ÷ 4⁷ as a single power 4ⁿ. What is n?

Answer key

  1. 8
  2. 24
  3. 1/9
  4. 4096
  5. 12
  6. 7776
  7. 0.00036
  8. 5
  9. 2
  10. 0.71
  11. 16
  12. 5
  13. 370000
  14. 1
  15. 78125
  16. 580000
  17. 0.092
  18. 3
  19. 2
  20. 12
  21. 49/25
  22. 3
  23. 3/2
  24. 0.18
  25. 0.0006
  26. 1/625
  27. 7
  28. 0.00017
  29. 9
  30. 7
  31. 32
  32. 8/7
  33. 5/2
  34. 1296
  35. 15625
  36. 1/2
  37. 81
  38. 0.0013
  39. 1/4
  40. 5

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