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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 833 · 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 7³ × 7⁸ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 2¹⁵? =
  3. 3.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  4. 4.1.6 × 10⁴ =
  5. 5.3.9 × 10³ =
  6. 6.Write 4¹² ÷ 4⁷ as a single power 4ⁿ. What is n?
  7. 7.Write 7¹⁸ ÷ 7⁹ as a single power 7ⁿ. What is n?
  8. 8.What is the value of (2/5)⁻¹? =
  9. 9.What is the value of 10⁴ × 10⁻⁴? =
  10. 10.Write (6⁹)⁹ as a single power 6ⁿ. What is n?
  11. 11.Write (8⁸)⁸ as a single power 8ⁿ. What is n?
  12. 12.What is the value of 5² × 5⁻²? =
  13. 13.What is the value of 2³? =
  14. 14.Write (3⁹)⁴ as a single power 3ⁿ. What is n?
  15. 15.Write (2⁹)⁵ as a single power 2ⁿ. What is n?
  16. 16.What is the value of 7⁻³ (as a fraction)? =
  17. 17.What is the value of 3⁵ × 3⁻¹? =
  18. 18.What is the value of 3⁻¹ (as a fraction)? =
  19. 19.Write 96,000 in standard form as 9.6 × 10ⁿ. What is n?
  20. 20.Write 9.7 × 10⁻¹ as a decimal. =
  21. 21.Write 7⁴ ÷ 7² as a single power 7ⁿ. What is n?
  22. 22.Write 3⁸ × 3⁸ as a single power 3ⁿ. What is n?
  23. 23.Write 8⁹ ÷ 8³ as a single power 8ⁿ. What is n?
  24. 24.What is the value of 2¹²? =
  25. 25.Write 2¹² ÷ 2⁶ as a single power 2ⁿ. What is n?
  26. 26.What is the value of (2/9)⁻²? =
  27. 27.Write (4⁸)⁶ as a single power 4ⁿ. What is n?
  28. 28.What is the value of 2⁶ × 2⁻⁵? =
  29. 29.What is the value of 5¹ × 5⁻⁵? =
  30. 30.Write 9.7 × 10⁻³ as a decimal. =
  31. 31.1.1 × 10⁵ =
  32. 32.Write 9⁷ × 9⁴ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 2⁵? =
  34. 34.Write 8 × 10⁻¹ as a decimal. =
  35. 35.Write 3⁹ × 3² as a single power 3ⁿ. What is n?
  36. 36.What is the value of (2/3)⁻²? =
  37. 37.What is the value of (3/5)⁻¹? =
  38. 38.What is the value of 9³? =
  39. 39.1.4 × 10⁴ =
  40. 40.Write (7⁹)⁹ as a single power 7ⁿ. What is n?

Answer key

  1. 11
  2. 32768
  3. 7
  4. 16000
  5. 3900
  6. 5
  7. 9
  8. 5/2
  9. 1
  10. 81
  11. 64
  12. 1
  13. 8
  14. 36
  15. 45
  16. 1/343
  17. 81
  18. 1/3
  19. 4
  20. 0.97
  21. 2
  22. 16
  23. 6
  24. 4096
  25. 6
  26. 81/4
  27. 48
  28. 2
  29. 1/625
  30. 0.0097
  31. 110000
  32. 11
  33. 32
  34. 0.8
  35. 11
  36. 9/4
  37. 5/3
  38. 729
  39. 14000
  40. 81

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