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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 689 · 40 sums
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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 45,00,000 in standard form as 4.5 × 10ⁿ. What is n?
  2. 2.What is the value of 2⁴ × 2⁻²? =
  3. 3.Write 7¹¹ ÷ 7⁶ as a single power 7ⁿ. What is n?
  4. 4.What is the value of 2¹⁰? =
  5. 5.What is the value of 5² × 5⁻²? =
  6. 6.Write 7,000 in standard form as 7 × 10ⁿ. What is n?
  7. 7.What is the value of 2²? =
  8. 8.Write (3²)³ as a single power 3ⁿ. What is n?
  9. 9.Write 8⁵ × 8⁶ as a single power 8ⁿ. What is n?
  10. 10.What is the value of 2¹³? =
  11. 11.Write 9¹⁵ ÷ 9⁶ as a single power 9ⁿ. What is n?
  12. 12.Write (4⁶)⁸ as a single power 4ⁿ. What is n?
  13. 13.What is the value of 2⁻¹ (as a fraction)? =
  14. 14.Write 9⁷ ÷ 9⁵ as a single power 9ⁿ. What is n?
  15. 15.1.9 × 10⁶ =
  16. 16.What is the value of (1/4)⁻²? =
  17. 17.Write 8.5 × 10⁻³ as a decimal. =
  18. 18.6.2 × 10² =
  19. 19.Write 4.2 × 10⁻¹ as a decimal. =
  20. 20.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  21. 21.What is the value of 6²? =
  22. 22.What is the value of (3/7)⁻¹? =
  23. 23.What is the value of 8⁵? =
  24. 24.6.6 × 10⁶ =
  25. 25.Write 7.9 × 10⁻² as a decimal. =
  26. 26.Write 8² × 8⁴ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 4⁷? =
  28. 28.What is the value of 2⁻⁸ (as a fraction)? =
  29. 29.What is the value of 6⁴? =
  30. 30.Write 3,000 in standard form as 3 × 10ⁿ. What is n?
  31. 31.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  32. 32.What is the value of 2⁵ × 2⁻¹? =
  33. 33.What is the value of 4⁻¹ (as a fraction)? =
  34. 34.What is the value of 5⁵? =
  35. 35.Write 9¹⁰ ÷ 9² as a single power 9ⁿ. What is n?
  36. 36.Write 9.5 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 3⁻² (as a fraction)? =
  38. 38.Write 7⁹ ÷ 7⁵ as a single power 7ⁿ. What is n?
  39. 39.What is the value of 3² × 3⁻³? =
  40. 40.What is the value of 2⁷? =

Answer key

  1. 6
  2. 4
  3. 5
  4. 1024
  5. 1
  6. 3
  7. 4
  8. 6
  9. 11
  10. 8192
  11. 9
  12. 48
  13. 1/2
  14. 2
  15. 1900000
  16. 16
  17. 0.0085
  18. 620
  19. 0.42
  20. 2
  21. 36
  22. 7/3
  23. 32768
  24. 6600000
  25. 0.079
  26. 6
  27. 16384
  28. 1/256
  29. 1296
  30. 3
  31. 7
  32. 16
  33. 1/4
  34. 3125
  35. 8
  36. 0.00095
  37. 1/9
  38. 4
  39. 1/3
  40. 128

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