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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 989 · 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 440 in standard form as 4.4 × 10ⁿ. What is n?
  2. 2.Write 9¹¹ ÷ 9³ as a single power 9ⁿ. What is n?
  3. 3.Write 3¹⁸ ÷ 3⁹ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 7³? =
  5. 5.What is the value of 10⁴ × 10⁻⁶? =
  6. 6.Write (2²)⁷ as a single power 2ⁿ. What is n?
  7. 7.4.4 × 10⁵ =
  8. 8.8.9 × 10² =
  9. 9.What is the value of (7/9)⁻²? =
  10. 10.What is the value of (2/9)⁻¹? =
  11. 11.Write 2³ × 2⁹ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 2¹⁵? =
  13. 13.2.1 × 10⁵ =
  14. 14.Write 6,600 in standard form as 6.6 × 10ⁿ. What is n?
  15. 15.1.9 × 10⁴ =
  16. 16.Write 4⁸ × 4⁹ as a single power 4ⁿ. What is n?
  17. 17.What is the value of (5/7)⁻¹? =
  18. 18.What is the value of 10¹ × 10⁻¹? =
  19. 19.What is the value of 6⁵? =
  20. 20.Write 59,000 in standard form as 5.9 × 10ⁿ. What is n?
  21. 21.What is the value of 3² × 3⁻⁶? =
  22. 22.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  23. 23.What is the value of 5⁴ × 5⁻⁴? =
  24. 24.Write (5²)⁷ as a single power 5ⁿ. What is n?
  25. 25.Write 8⁵ × 8⁶ as a single power 8ⁿ. What is n?
  26. 26.What is the value of 10⁵? =
  27. 27.What is the value of 9⁻² (as a fraction)? =
  28. 28.What is the value of 2¹ × 2⁻⁵? =
  29. 29.Write 3.7 × 10⁻⁴ as a decimal. =
  30. 30.Write 5⁹ ÷ 5⁵ as a single power 5ⁿ. What is n?
  31. 31.Write 1,10,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  32. 32.What is the value of 3⁶? =
  33. 33.Write 8⁸ × 8² as a single power 8ⁿ. What is n?
  34. 34.What is the value of 3⁻⁴ (as a fraction)? =
  35. 35.Write 6.8 × 10⁻¹ as a decimal. =
  36. 36.1.2 × 10⁷ =
  37. 37.What is the value of 2¹²? =
  38. 38.What is the value of 5⁴ × 5⁻¹? =
  39. 39.6.2 × 10⁵ =
  40. 40.What is the value of (7/8)⁻²? =

Answer key

  1. 2
  2. 8
  3. 9
  4. 343
  5. 1/100
  6. 14
  7. 440000
  8. 890
  9. 81/49
  10. 9/2
  11. 12
  12. 32768
  13. 210000
  14. 3
  15. 19000
  16. 17
  17. 7/5
  18. 1
  19. 7776
  20. 4
  21. 1/81
  22. 6
  23. 1
  24. 14
  25. 11
  26. 100000
  27. 1/81
  28. 1/16
  29. 0.00037
  30. 4
  31. 7
  32. 729
  33. 10
  34. 1/81
  35. 0.68
  36. 12000000
  37. 4096
  38. 125
  39. 620000
  40. 64/49

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