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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 732 · 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 2⁻³ (as a fraction)? =
  2. 2.Write 7¹⁴ ÷ 7⁷ as a single power 7ⁿ. What is n?
  3. 3.Write 2¹³ ÷ 2⁹ as a single power 2ⁿ. What is n?
  4. 4.Write (4⁵)⁹ as a single power 4ⁿ. What is n?
  5. 5.Write (2³)³ as a single power 2ⁿ. What is n?
  6. 6.Write 8,70,000 in standard form as 8.7 × 10ⁿ. What is n?
  7. 7.What is the value of 2⁴ × 2⁻⁴? =
  8. 8.3.4 × 10⁵ =
  9. 9.Write 9¹¹ ÷ 9³ as a single power 9ⁿ. What is n?
  10. 10.Write 2⁷ × 2³ as a single power 2ⁿ. What is n?
  11. 11.What is the value of 9⁻² (as a fraction)? =
  12. 12.9.1 × 10² =
  13. 13.Write 4.3 × 10⁻⁴ as a decimal. =
  14. 14.Write 5⁴ × 5⁷ as a single power 5ⁿ. What is n?
  15. 15.Write 1,90,000 in standard form as 1.9 × 10ⁿ. What is n?
  16. 16.What is the value of 4³? =
  17. 17.What is the value of 2¹⁶? =
  18. 18.Write (2³)⁶ as a single power 2ⁿ. What is n?
  19. 19.Write 93,000 in standard form as 9.3 × 10ⁿ. What is n?
  20. 20.What is the value of (3/8)⁻²? =
  21. 21.What is the value of 3² × 3⁻⁶? =
  22. 22.Write 2¹⁴ ÷ 2⁶ as a single power 2ⁿ. What is n?
  23. 23.What is the value of 10⁴? =
  24. 24.What is the value of 3¹⁰? =
  25. 25.Write 5² × 5³ as a single power 5ⁿ. What is n?
  26. 26.What is the value of 8²? =
  27. 27.Write 5.5 × 10⁻² as a decimal. =
  28. 28.What is the value of 2⁻⁷ (as a fraction)? =
  29. 29.What is the value of 2⁴? =
  30. 30.What is the value of 3⁶ × 3⁻²? =
  31. 31.What is the value of 4⁻² (as a fraction)? =
  32. 32.What is the value of 5⁻⁴ (as a fraction)? =
  33. 33.What is the value of 8⁴? =
  34. 34.What is the value of 3⁶? =
  35. 35.Write 1.6 × 10⁻⁴ as a decimal. =
  36. 36.6.3 × 10⁶ =
  37. 37.Write 3⁸ × 3⁴ as a single power 3ⁿ. What is n?
  38. 38.1.7 × 10⁴ =
  39. 39.Write 2 × 10⁻² as a decimal. =
  40. 40.What is the value of 5⁴ × 5⁻³? =

Answer key

  1. 1/8
  2. 7
  3. 4
  4. 45
  5. 9
  6. 5
  7. 1
  8. 340000
  9. 8
  10. 10
  11. 1/81
  12. 910
  13. 0.00043
  14. 11
  15. 5
  16. 64
  17. 65536
  18. 18
  19. 4
  20. 64/9
  21. 1/81
  22. 8
  23. 10000
  24. 59049
  25. 5
  26. 64
  27. 0.055
  28. 1/128
  29. 16
  30. 81
  31. 1/16
  32. 1/625
  33. 4096
  34. 729
  35. 0.00016
  36. 6300000
  37. 12
  38. 17000
  39. 0.02
  40. 5

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