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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 990 · 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 (1/8)⁻¹? =
  2. 2.What is the value of 2⁴ × 2⁻²? =
  3. 3.What is the value of 4⁵? =
  4. 4.Write 7 × 10⁻³ as a decimal. =
  5. 5.What is the value of 2³ × 2⁻²? =
  6. 6.7.1 × 10⁷ =
  7. 7.3 × 10⁶ =
  8. 8.Write 5² × 5⁷ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 10⁶ × 10⁻⁵? =
  10. 10.6.5 × 10⁴ =
  11. 11.Write 2.7 × 10⁻³ as a decimal. =
  12. 12.Write 6.2 × 10⁻² as a decimal. =
  13. 13.Write 4.4 × 10⁻⁴ as a decimal. =
  14. 14.Write (9⁹)³ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 2⁷? =
  16. 16.What is the value of 7³? =
  17. 17.4.5 × 10⁴ =
  18. 18.What is the value of 9⁵? =
  19. 19.What is the value of (1/3)⁻¹? =
  20. 20.Write 9³ × 9⁸ as a single power 9ⁿ. What is n?
  21. 21.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
  22. 22.Write (5³)³ as a single power 5ⁿ. What is n?
  23. 23.Write 6,60,000 in standard form as 6.6 × 10ⁿ. What is n?
  24. 24.1.6 × 10³ =
  25. 25.5.2 × 10³ =
  26. 26.6.6 × 10⁶ =
  27. 27.Write (3⁴)² as a single power 3ⁿ. What is n?
  28. 28.Write 7.4 × 10⁻¹ as a decimal. =
  29. 29.Write 2.3 × 10⁻² as a decimal. =
  30. 30.What is the value of 6⁶? =
  31. 31.Write 7⁸ ÷ 7⁴ as a single power 7ⁿ. What is n?
  32. 32.What is the value of 2¹ × 2⁻¹? =
  33. 33.What is the value of 10³ × 10⁻⁶? =
  34. 34.What is the value of 2¹⁴? =
  35. 35.What is the value of 9⁻¹ (as a fraction)? =
  36. 36.Write 7.1 × 10⁻¹ as a decimal. =
  37. 37.Write 8⁷ ÷ 8⁵ as a single power 8ⁿ. What is n?
  38. 38.Write 2⁶ × 2⁶ as a single power 2ⁿ. What is n?
  39. 39.Write 4⁸ ÷ 4⁴ as a single power 4ⁿ. What is n?
  40. 40.What is the value of 2⁻¹ (as a fraction)? =

Answer key

  1. 8
  2. 4
  3. 1024
  4. 0.007
  5. 2
  6. 71000000
  7. 3000000
  8. 9
  9. 10
  10. 65000
  11. 0.0027
  12. 0.062
  13. 0.00044
  14. 27
  15. 128
  16. 343
  17. 45000
  18. 59049
  19. 3
  20. 11
  21. 12
  22. 9
  23. 5
  24. 1600
  25. 5200
  26. 6600000
  27. 8
  28. 0.74
  29. 0.023
  30. 46656
  31. 4
  32. 1
  33. 1/1000
  34. 16384
  35. 1/9
  36. 0.71
  37. 2
  38. 12
  39. 4
  40. 1/2

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