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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 868 · 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 7⁸ ÷ 7⁶ as a single power 7ⁿ. What is n?
  2. 2.What is the value of 7³? =
  3. 3.1.6 × 10⁴ =
  4. 4.What is the value of (5/6)⁻²? =
  5. 5.What is the value of 5² × 5⁻²? =
  6. 6.What is the value of 3²? =
  7. 7.What is the value of 2¹²? =
  8. 8.Write 5,70,000 in standard form as 5.7 × 10ⁿ. What is n?
  9. 9.What is the value of 2⁷? =
  10. 10.Write (6⁵)⁷ as a single power 6ⁿ. What is n?
  11. 11.2.2 × 10³ =
  12. 12.Write (5⁴)⁶ as a single power 5ⁿ. What is n?
  13. 13.Write (4⁹)² as a single power 4ⁿ. What is n?
  14. 14.What is the value of 3² × 3⁻²? =
  15. 15.What is the value of 6²? =
  16. 16.What is the value of 5³? =
  17. 17.What is the value of 9³? =
  18. 18.Write (9⁹)³ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 5⁷? =
  20. 20.What is the value of 2⁻⁶ (as a fraction)? =
  21. 21.What is the value of 3⁶ × 3⁻⁴? =
  22. 22.Write 5.2 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 5⁴? =
  24. 24.Write (3⁵)⁷ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 3⁵? =
  26. 26.Write 380 in standard form as 3.8 × 10ⁿ. What is n?
  27. 27.Write 2.2 × 10⁻⁴ as a decimal. =
  28. 28.Write 5³ × 5² as a single power 5ⁿ. What is n?
  29. 29.Write 1.2 × 10⁻⁴ as a decimal. =
  30. 30.Write 7.9 × 10⁻² as a decimal. =
  31. 31.What is the value of 9⁵? =
  32. 32.Write 150 in standard form as 1.5 × 10ⁿ. What is n?
  33. 33.Write 8.2 × 10⁻³ as a decimal. =
  34. 34.What is the value of (1/3)⁻²? =
  35. 35.What is the value of (1/5)⁻²? =
  36. 36.Write 9.3 × 10⁻² as a decimal. =
  37. 37.What is the value of 8⁵? =
  38. 38.What is the value of 10⁵ × 10⁻⁵? =
  39. 39.What is the value of (2/5)⁻²? =
  40. 40.What is the value of 4⁻³ (as a fraction)? =

Answer key

  1. 2
  2. 343
  3. 16000
  4. 36/25
  5. 1
  6. 9
  7. 4096
  8. 5
  9. 128
  10. 35
  11. 2200
  12. 24
  13. 18
  14. 1
  15. 36
  16. 125
  17. 729
  18. 27
  19. 78125
  20. 1/64
  21. 9
  22. 0.00052
  23. 625
  24. 35
  25. 243
  26. 2
  27. 0.00022
  28. 5
  29. 0.00012
  30. 0.079
  31. 59049
  32. 2
  33. 0.0082
  34. 9
  35. 25
  36. 0.093
  37. 32768
  38. 1
  39. 25/4
  40. 1/64

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