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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 992 · 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 7⁵ ÷ 7³ as a single power 7ⁿ. What is n?
  2. 2.Write 6⁷ ÷ 6³ as a single power 6ⁿ. What is n?
  3. 3.What is the value of 5¹ × 5⁻⁴? =
  4. 4.Write 3.1 × 10⁻³ as a decimal. =
  5. 5.What is the value of 10⁻³ (as a fraction)? =
  6. 6.Write 5⁶ × 5³ as a single power 5ⁿ. What is n?
  7. 7.Write 7⁷ ÷ 7⁵ as a single power 7ⁿ. What is n?
  8. 8.6.9 × 10² =
  9. 9.2.5 × 10⁷ =
  10. 10.What is the value of 9⁻¹ (as a fraction)? =
  11. 11.What is the value of 2² × 2⁻⁶? =
  12. 12.9.6 × 10³ =
  13. 13.Write 1,10,000 in standard form as 1.1 × 10ⁿ. What is n?
  14. 14.Write (9⁵)³ as a single power 9ⁿ. What is n?
  15. 15.What is the value of (1/5)⁻²? =
  16. 16.What is the value of 5² × 5⁻⁵? =
  17. 17.What is the value of 10² × 10⁻⁵? =
  18. 18.9.5 × 10⁶ =
  19. 19.Write (2⁶)³ as a single power 2ⁿ. What is n?
  20. 20.Write 2¹² ÷ 2⁵ as a single power 2ⁿ. What is n?
  21. 21.What is the value of 2⁻¹ (as a fraction)? =
  22. 22.What is the value of 3⁵ × 3⁻⁶? =
  23. 23.Write 9.2 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 4⁻³ (as a fraction)? =
  25. 25.What is the value of 6⁻² (as a fraction)? =
  26. 26.What is the value of 3¹ × 3⁻¹? =
  27. 27.Write 8¹⁰ ÷ 8³ as a single power 8ⁿ. What is n?
  28. 28.What is the value of 5² × 5⁻³? =
  29. 29.Write 9.6 × 10⁻³ as a decimal. =
  30. 30.What is the value of 10⁴? =
  31. 31.Write (6⁹)⁷ as a single power 6ⁿ. What is n?
  32. 32.What is the value of 2¹⁵? =
  33. 33.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  34. 34.Write 3.4 × 10⁻⁴ as a decimal. =
  35. 35.1.5 × 10³ =
  36. 36.What is the value of 8⁵? =
  37. 37.What is the value of 5⁴ × 5⁻¹? =
  38. 38.Write 9⁶ ÷ 9³ as a single power 9ⁿ. What is n?
  39. 39.Write 1.6 × 10⁻⁴ as a decimal. =
  40. 40.What is the value of (3/7)⁻¹? =

Answer key

  1. 2
  2. 4
  3. 1/125
  4. 0.0031
  5. 1/1000
  6. 9
  7. 2
  8. 690
  9. 25000000
  10. 1/9
  11. 1/16
  12. 9600
  13. 5
  14. 15
  15. 25
  16. 1/125
  17. 1/1000
  18. 9500000
  19. 18
  20. 7
  21. 1/2
  22. 1/3
  23. 0.92
  24. 1/64
  25. 1/36
  26. 1
  27. 7
  28. 1/5
  29. 0.0096
  30. 10000
  31. 63
  32. 32768
  33. 6
  34. 0.00034
  35. 1500
  36. 32768
  37. 125
  38. 3
  39. 0.00016
  40. 7/3

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