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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 267 · 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 (1/4)⁻¹? =
  2. 2.What is the value of 5³? =
  3. 3.What is the value of 4⁴? =
  4. 4.What is the value of 5⁷? =
  5. 5.What is the value of 3⁴ × 3⁻⁵? =
  6. 6.Write 4.7 × 10⁻² as a decimal. =
  7. 7.Write 6⁷ × 6³ as a single power 6ⁿ. What is n?
  8. 8.What is the value of 6²? =
  9. 9.What is the value of 2¹³? =
  10. 10.What is the value of (4/5)⁻¹? =
  11. 11.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  12. 12.What is the value of 9⁻² (as a fraction)? =
  13. 13.What is the value of 2³ × 2⁻⁵? =
  14. 14.What is the value of 10⁵? =
  15. 15.Write 4.6 × 10⁻¹ as a decimal. =
  16. 16.Write 160 in standard form as 1.6 × 10ⁿ. What is n?
  17. 17.Write 900 in standard form as 9 × 10ⁿ. What is n?
  18. 18.What is the value of 3¹⁰? =
  19. 19.What is the value of 3¹ × 3⁻³? =
  20. 20.Write (3⁹)⁴ as a single power 3ⁿ. What is n?
  21. 21.Write 5⁴ × 5⁸ as a single power 5ⁿ. What is n?
  22. 22.What is the value of 9⁵? =
  23. 23.What is the value of 5⁴ × 5⁻⁶? =
  24. 24.What is the value of (1/3)⁻²? =
  25. 25.Write (8⁶)⁹ as a single power 8ⁿ. What is n?
  26. 26.Write 8⁶ × 8⁴ as a single power 8ⁿ. What is n?
  27. 27.4.3 × 10³ =
  28. 28.Write 4² × 4⁷ as a single power 4ⁿ. What is n?
  29. 29.What is the value of (1/4)⁻²? =
  30. 30.What is the value of 10³ × 10⁻³? =
  31. 31.Write 9⁷ × 9² as a single power 9ⁿ. What is n?
  32. 32.What is the value of (3/5)⁻²? =
  33. 33.Write 8.5 × 10⁻¹ as a decimal. =
  34. 34.9.7 × 10² =
  35. 35.Write 5.9 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 2⁵ × 2⁻⁵? =
  37. 37.Write 8¹⁴ ÷ 8⁷ as a single power 8ⁿ. What is n?
  38. 38.What is the value of 2³? =
  39. 39.What is the value of 5⁶? =
  40. 40.Write 2⁵ × 2² as a single power 2ⁿ. What is n?

Answer key

  1. 4
  2. 125
  3. 256
  4. 78125
  5. 1/3
  6. 0.047
  7. 10
  8. 36
  9. 8192
  10. 5/4
  11. 11
  12. 1/81
  13. 1/4
  14. 100000
  15. 0.46
  16. 2
  17. 2
  18. 59049
  19. 1/9
  20. 36
  21. 12
  22. 59049
  23. 1/25
  24. 9
  25. 54
  26. 10
  27. 4300
  28. 9
  29. 16
  30. 1
  31. 9
  32. 25/9
  33. 0.85
  34. 970
  35. 0.00059
  36. 1
  37. 7
  38. 8
  39. 15625
  40. 7

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