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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 66 · 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 2¹²? =
  2. 2.Write 2.4 × 10⁻² as a decimal. =
  3. 3.What is the value of (2/7)⁻¹? =
  4. 4.Write 3.4 × 10⁻² as a decimal. =
  5. 5.Write 2³ × 2² as a single power 2ⁿ. What is n?
  6. 6.Write (7⁶)⁹ as a single power 7ⁿ. What is n?
  7. 7.What is the value of 2¹⁵? =
  8. 8.Write 9¹² ÷ 9⁴ as a single power 9ⁿ. What is n?
  9. 9.Write 4⁸ × 4³ as a single power 4ⁿ. What is n?
  10. 10.Write 8¹¹ ÷ 8³ as a single power 8ⁿ. What is n?
  11. 11.5.2 × 10⁵ =
  12. 12.What is the value of 6⁵? =
  13. 13.What is the value of 5⁴ × 5⁻⁶? =
  14. 14.Write (7⁵)³ as a single power 7ⁿ. What is n?
  15. 15.What is the value of (4/7)⁻¹? =
  16. 16.What is the value of 2⁴ × 2⁻⁵? =
  17. 17.What is the value of 2⁴ × 2⁻⁴? =
  18. 18.What is the value of 2¹³? =
  19. 19.What is the value of 4⁴? =
  20. 20.What is the value of 9⁴? =
  21. 21.What is the value of 7⁴? =
  22. 22.What is the value of 2⁴? =
  23. 23.What is the value of 5⁻¹ (as a fraction)? =
  24. 24.What is the value of 6⁻² (as a fraction)? =
  25. 25.Write 4⁷ × 4⁴ as a single power 4ⁿ. What is n?
  26. 26.Write 2.7 × 10⁻¹ as a decimal. =
  27. 27.Write 6,700 in standard form as 6.7 × 10ⁿ. What is n?
  28. 28.What is the value of 3³ × 3⁻⁵? =
  29. 29.What is the value of (5/8)⁻²? =
  30. 30.What is the value of 2⁶ × 2⁻¹? =
  31. 31.What is the value of 8⁴? =
  32. 32.Write 5.6 × 10⁻² as a decimal. =
  33. 33.8.8 × 10⁵ =
  34. 34.What is the value of (2/3)⁻²? =
  35. 35.Write (4⁹)⁶ as a single power 4ⁿ. What is n?
  36. 36.What is the value of 5⁵? =
  37. 37.Write 2¹⁰ ÷ 2³ as a single power 2ⁿ. What is n?
  38. 38.What is the value of 10² × 10⁻²? =
  39. 39.4.5 × 10⁷ =
  40. 40.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?

Answer key

  1. 4096
  2. 0.024
  3. 7/2
  4. 0.034
  5. 5
  6. 54
  7. 32768
  8. 8
  9. 11
  10. 8
  11. 520000
  12. 7776
  13. 1/25
  14. 15
  15. 7/4
  16. 1/2
  17. 1
  18. 8192
  19. 256
  20. 6561
  21. 2401
  22. 16
  23. 1/5
  24. 1/36
  25. 11
  26. 0.27
  27. 3
  28. 1/9
  29. 64/25
  30. 32
  31. 4096
  32. 0.056
  33. 880000
  34. 9/4
  35. 54
  36. 3125
  37. 7
  38. 1
  39. 45000000
  40. 11

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