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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 139 · 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 9⁻² (as a fraction)? =
  2. 2.What is the value of 10⁵ × 10⁻⁴? =
  3. 3.What is the value of 5¹ × 5⁻³? =
  4. 4.What is the value of 5³? =
  5. 5.Write (5³)² as a single power 5ⁿ. What is n?
  6. 6.Write 4.1 × 10⁻⁴ as a decimal. =
  7. 7.What is the value of 10² × 10⁻³? =
  8. 8.Write 3,30,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  9. 9.Write 73,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  10. 10.Write 8,20,000 in standard form as 8.2 × 10ⁿ. What is n?
  11. 11.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 3³ × 3⁻³? =
  13. 13.What is the value of (1/2)⁻¹? =
  14. 14.What is the value of 3⁵ × 3⁻³? =
  15. 15.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  16. 16.What is the value of 3¹⁰? =
  17. 17.Write 3¹² ÷ 3⁹ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 3⁵ × 3⁻⁶? =
  19. 19.What is the value of (5/9)⁻¹? =
  20. 20.6.1 × 10⁴ =
  21. 21.8.2 × 10⁴ =
  22. 22.What is the value of 7⁻² (as a fraction)? =
  23. 23.What is the value of 6²? =
  24. 24.Write 9¹¹ ÷ 9² as a single power 9ⁿ. What is n?
  25. 25.Write 7⁷ × 7⁸ as a single power 7ⁿ. What is n?
  26. 26.What is the value of 2⁵ × 2⁻⁴? =
  27. 27.What is the value of 3²? =
  28. 28.What is the value of 2² × 2⁻³? =
  29. 29.What is the value of 5³ × 5⁻⁵? =
  30. 30.What is the value of 2⁶ × 2⁻⁴? =
  31. 31.5 × 10⁷ =
  32. 32.What is the value of 2¹ × 2⁻⁶? =
  33. 33.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  34. 34.What is the value of 6⁻² (as a fraction)? =
  35. 35.What is the value of 5⁴? =
  36. 36.Write 7¹⁰ ÷ 7⁴ as a single power 7ⁿ. What is n?
  37. 37.Write 9¹⁴ ÷ 9⁵ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 5⁻² (as a fraction)? =
  39. 39.What is the value of 2⁴ × 2⁻⁴? =
  40. 40.3.2 × 10⁴ =

Answer key

  1. 1/81
  2. 10
  3. 1/25
  4. 125
  5. 6
  6. 0.00041
  7. 1/10
  8. 7
  9. 6
  10. 5
  11. 8
  12. 1
  13. 2
  14. 9
  15. 7
  16. 59049
  17. 3
  18. 1/3
  19. 9/5
  20. 61000
  21. 82000
  22. 1/49
  23. 36
  24. 9
  25. 15
  26. 2
  27. 9
  28. 1/2
  29. 1/25
  30. 4
  31. 50000000
  32. 1/32
  33. 4
  34. 1/36
  35. 625
  36. 6
  37. 9
  38. 1/25
  39. 1
  40. 32000

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