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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 197 · 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 4⁸ × 4⁴ as a single power 4ⁿ. What is n?
  2. 2.Write 5⁶ × 5⁶ as a single power 5ⁿ. What is n?
  3. 3.Write 3.8 × 10⁻³ as a decimal. =
  4. 4.Write 980 in standard form as 9.8 × 10ⁿ. What is n?
  5. 5.What is the value of 8⁻³ (as a fraction)? =
  6. 6.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  7. 7.9.2 × 10² =
  8. 8.What is the value of 10⁵ × 10⁻⁵? =
  9. 9.What is the value of 7²? =
  10. 10.What is the value of 2⁻⁴ (as a fraction)? =
  11. 11.Write 2⁴ × 2⁶ as a single power 2ⁿ. What is n?
  12. 12.Write 180 in standard form as 1.8 × 10ⁿ. What is n?
  13. 13.9.2 × 10⁷ =
  14. 14.9.6 × 10⁶ =
  15. 15.Write 3¹¹ ÷ 3² as a single power 3ⁿ. What is n?
  16. 16.Write (7⁷)⁸ as a single power 7ⁿ. What is n?
  17. 17.What is the value of 2⁻⁸ (as a fraction)? =
  18. 18.2.2 × 10³ =
  19. 19.What is the value of (5/8)⁻¹? =
  20. 20.What is the value of 5¹ × 5⁻²? =
  21. 21.What is the value of 3²? =
  22. 22.Write 3⁴ ÷ 3² as a single power 3ⁿ. What is n?
  23. 23.What is the value of 6³? =
  24. 24.What is the value of 5⁵? =
  25. 25.9.7 × 10² =
  26. 26.What is the value of 6⁵? =
  27. 27.What is the value of 2⁻⁶ (as a fraction)? =
  28. 28.Write 7² × 7⁷ as a single power 7ⁿ. What is n?
  29. 29.What is the value of (7/8)⁻¹? =
  30. 30.What is the value of 2² × 2⁻⁶? =
  31. 31.Write (7⁷)² as a single power 7ⁿ. What is n?
  32. 32.Write 2¹⁷ ÷ 2⁸ as a single power 2ⁿ. What is n?
  33. 33.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  34. 34.Write 25,000 in standard form as 2.5 × 10ⁿ. What is n?
  35. 35.Write 4,10,00,000 in standard form as 4.1 × 10ⁿ. What is n?
  36. 36.5.8 × 10³ =
  37. 37.Write (4⁵)⁴ as a single power 4ⁿ. What is n?
  38. 38.What is the value of (6/7)⁻²? =
  39. 39.6.6 × 10⁶ =
  40. 40.Write (3²)⁷ as a single power 3ⁿ. What is n?

Answer key

  1. 12
  2. 12
  3. 0.0038
  4. 2
  5. 1/512
  6. 4
  7. 920
  8. 1
  9. 49
  10. 1/16
  11. 10
  12. 2
  13. 92000000
  14. 9600000
  15. 9
  16. 56
  17. 1/256
  18. 2200
  19. 8/5
  20. 1/5
  21. 9
  22. 2
  23. 216
  24. 3125
  25. 970
  26. 7776
  27. 1/64
  28. 9
  29. 8/7
  30. 1/16
  31. 14
  32. 9
  33. 13
  34. 4
  35. 7
  36. 5800
  37. 20
  38. 49/36
  39. 6600000
  40. 14

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