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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 258 · 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 2¹³? =
  2. 2.Write 1.1 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 6⁻³ (as a fraction)? =
  4. 4.Write 8¹² ÷ 8³ as a single power 8ⁿ. What is n?
  5. 5.What is the value of 10⁶ × 10⁻⁶? =
  6. 6.What is the value of (4/7)⁻²? =
  7. 7.What is the value of 2⁻⁷ (as a fraction)? =
  8. 8.Write 3⁸ × 3⁹ as a single power 3ⁿ. What is n?
  9. 9.What is the value of 9³? =
  10. 10.2.9 × 10⁷ =
  11. 11.6.5 × 10⁶ =
  12. 12.Write (6⁷)⁶ as a single power 6ⁿ. What is n?
  13. 13.Write 6¹⁴ ÷ 6⁹ as a single power 6ⁿ. What is n?
  14. 14.Write 7¹⁴ ÷ 7⁹ as a single power 7ⁿ. What is n?
  15. 15.Write 4¹⁰ ÷ 4⁸ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 7⁻¹ (as a fraction)? =
  17. 17.Write 2 × 10⁻³ as a decimal. =
  18. 18.What is the value of 3⁵ × 3⁻⁵? =
  19. 19.What is the value of 2⁴? =
  20. 20.Write 5⁴ × 5⁶ as a single power 5ⁿ. What is n?
  21. 21.Write 8⁴ × 8³ as a single power 8ⁿ. What is n?
  22. 22.What is the value of 10⁵ × 10⁻⁵? =
  23. 23.Write 2.6 × 10⁻² as a decimal. =
  24. 24.What is the value of 4²? =
  25. 25.What is the value of 4⁷? =
  26. 26.What is the value of (1/2)⁻²? =
  27. 27.Write 4 × 10⁻² as a decimal. =
  28. 28.Write 3.9 × 10⁻³ as a decimal. =
  29. 29.Write 7.9 × 10⁻⁴ as a decimal. =
  30. 30.9.5 × 10³ =
  31. 31.What is the value of 2⁸? =
  32. 32.What is the value of 2¹⁵? =
  33. 33.What is the value of (1/6)⁻²? =
  34. 34.Write 9⁵ × 9⁸ as a single power 9ⁿ. What is n?
  35. 35.What is the value of 6⁶? =
  36. 36.What is the value of 5⁷? =
  37. 37.3.7 × 10³ =
  38. 38.What is the value of 10¹ × 10⁻³? =
  39. 39.Write 7.3 × 10⁻¹ as a decimal. =
  40. 40.Write 2⁹ × 2⁵ as a single power 2ⁿ. What is n?

Answer key

  1. 8192
  2. 0.11
  3. 1/216
  4. 9
  5. 1
  6. 49/16
  7. 1/128
  8. 17
  9. 729
  10. 29000000
  11. 6500000
  12. 42
  13. 5
  14. 5
  15. 2
  16. 1/7
  17. 0.002
  18. 1
  19. 16
  20. 10
  21. 7
  22. 1
  23. 0.026
  24. 16
  25. 16384
  26. 4
  27. 0.04
  28. 0.0039
  29. 0.00079
  30. 9500
  31. 256
  32. 32768
  33. 36
  34. 13
  35. 46656
  36. 78125
  37. 3700
  38. 1/100
  39. 0.73
  40. 14

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