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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 169 · 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 2¹ × 2⁻¹? =
  2. 2.What is the value of 3¹ × 3⁻⁶? =
  3. 3.What is the value of 3⁴ × 3⁻⁶? =
  4. 4.Write 8.6 × 10⁻¹ as a decimal. =
  5. 5.Write (6³)⁵ as a single power 6ⁿ. What is n?
  6. 6.What is the value of 8²? =
  7. 7.What is the value of 3⁶ × 3⁻⁴? =
  8. 8.Write 4.7 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 4³? =
  10. 10.What is the value of 2¹⁰? =
  11. 11.Write 5⁹ × 5⁷ as a single power 5ⁿ. What is n?
  12. 12.What is the value of 3⁴? =
  13. 13.Write 2.7 × 10⁻³ as a decimal. =
  14. 14.Write 4.3 × 10⁻⁴ as a decimal. =
  15. 15.Write 4⁹ × 4³ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 9⁵? =
  17. 17.Write 4⁸ × 4⁴ as a single power 4ⁿ. What is n?
  18. 18.What is the value of 10⁴ × 10⁻¹? =
  19. 19.What is the value of 3⁵ × 3⁻³? =
  20. 20.Write 1.2 × 10⁻¹ as a decimal. =
  21. 21.Write 2¹³ ÷ 2⁸ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 5⁻¹ (as a fraction)? =
  23. 23.Write 5⁹ × 5² as a single power 5ⁿ. What is n?
  24. 24.What is the value of 2¹ × 2⁻⁴? =
  25. 25.What is the value of 3⁶ × 3⁻¹? =
  26. 26.7.5 × 10² =
  27. 27.Write 3⁹ ÷ 3⁷ as a single power 3ⁿ. What is n?
  28. 28.Write 2⁶ × 2⁸ as a single power 2ⁿ. What is n?
  29. 29.What is the value of 3² × 3⁻⁶? =
  30. 30.Write 2.3 × 10⁻¹ as a decimal. =
  31. 31.Write 8¹² ÷ 8⁵ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 2⁻⁵ (as a fraction)? =
  33. 33.What is the value of (1/8)⁻²? =
  34. 34.What is the value of 2⁶? =
  35. 35.Write 4² × 4² as a single power 4ⁿ. What is n?
  36. 36.Write 730 in standard form as 7.3 × 10ⁿ. What is n?
  37. 37.Write 7⁵ × 7⁵ as a single power 7ⁿ. What is n?
  38. 38.What is the value of 3⁻³ (as a fraction)? =
  39. 39.What is the value of 3⁻² (as a fraction)? =
  40. 40.What is the value of 10⁵ × 10⁻⁵? =

Answer key

  1. 1
  2. 1/243
  3. 1/9
  4. 0.86
  5. 15
  6. 64
  7. 9
  8. 0.47
  9. 64
  10. 1024
  11. 16
  12. 81
  13. 0.0027
  14. 0.00043
  15. 12
  16. 59049
  17. 12
  18. 1000
  19. 9
  20. 0.12
  21. 5
  22. 1/5
  23. 11
  24. 1/8
  25. 243
  26. 750
  27. 2
  28. 14
  29. 1/81
  30. 0.23
  31. 7
  32. 1/32
  33. 64
  34. 64
  35. 4
  36. 2
  37. 10
  38. 1/27
  39. 1/9
  40. 1

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