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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 354 · 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 (4⁶)² as a single power 4ⁿ. What is n?
  2. 2.What is the value of 9³? =
  3. 3.What is the value of 10⁶ × 10⁻¹? =
  4. 4.Write 9¹¹ ÷ 9² as a single power 9ⁿ. What is n?
  5. 5.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
  6. 6.Write 2⁸ × 2⁹ as a single power 2ⁿ. What is n?
  7. 7.2.5 × 10⁵ =
  8. 8.What is the value of 3³ × 3⁻⁵? =
  9. 9.Write 6⁶ ÷ 6⁴ as a single power 6ⁿ. What is n?
  10. 10.Write 4⁷ ÷ 4² as a single power 4ⁿ. What is n?
  11. 11.What is the value of (1/3)⁻²? =
  12. 12.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
  13. 13.Write 5² × 5³ as a single power 5ⁿ. What is n?
  14. 14.What is the value of 3⁻³ (as a fraction)? =
  15. 15.6.4 × 10³ =
  16. 16.Write (3³)⁵ as a single power 3ⁿ. What is n?
  17. 17.Write 2.4 × 10⁻² as a decimal. =
  18. 18.What is the value of 5³? =
  19. 19.What is the value of 8⁻³ (as a fraction)? =
  20. 20.What is the value of 2⁶ × 2⁻³? =
  21. 21.What is the value of 3⁴ × 3⁻²? =
  22. 22.Write (9⁵)⁹ as a single power 9ⁿ. What is n?
  23. 23.Write 5¹² ÷ 5³ as a single power 5ⁿ. What is n?
  24. 24.Write 6.4 × 10⁻² as a decimal. =
  25. 25.Write 2,90,000 in standard form as 2.9 × 10ⁿ. What is n?
  26. 26.What is the value of 8⁵? =
  27. 27.What is the value of 2⁻⁶ (as a fraction)? =
  28. 28.What is the value of 4⁴? =
  29. 29.What is the value of 3⁵ × 3⁻⁵? =
  30. 30.Write 9.6 × 10⁻³ as a decimal. =
  31. 31.Write 4 × 10⁻² as a decimal. =
  32. 32.Write 7⁹ × 7³ as a single power 7ⁿ. What is n?
  33. 33.Write 7.7 × 10⁻¹ as a decimal. =
  34. 34.Write 4.9 × 10⁻⁴ as a decimal. =
  35. 35.What is the value of (2/9)⁻²? =
  36. 36.What is the value of 10⁴ × 10⁻⁶? =
  37. 37.Write 88,000 in standard form as 8.8 × 10ⁿ. What is n?
  38. 38.Write 9¹¹ ÷ 9³ as a single power 9ⁿ. What is n?
  39. 39.Write 50,00,000 in standard form as 5 × 10ⁿ. What is n?
  40. 40.Write 6⁸ × 6⁸ as a single power 6ⁿ. What is n?

Answer key

  1. 12
  2. 729
  3. 100000
  4. 9
  5. 2
  6. 17
  7. 250000
  8. 1/9
  9. 2
  10. 5
  11. 9
  12. 15
  13. 5
  14. 1/27
  15. 6400
  16. 15
  17. 0.024
  18. 125
  19. 1/512
  20. 8
  21. 9
  22. 45
  23. 9
  24. 0.064
  25. 5
  26. 32768
  27. 1/64
  28. 256
  29. 1
  30. 0.0096
  31. 0.04
  32. 12
  33. 0.77
  34. 0.00049
  35. 81/4
  36. 1/100
  37. 4
  38. 8
  39. 6
  40. 16

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