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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 299 · 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 7¹⁰ ÷ 7² as a single power 7ⁿ. What is n?
  2. 2.What is the value of 4⁵? =
  3. 3.What is the value of 7²? =
  4. 4.What is the value of (1/5)⁻²? =
  5. 5.What is the value of 2¹⁵? =
  6. 6.Write 6¹⁵ ÷ 6⁹ as a single power 6ⁿ. What is n?
  7. 7.Write 4.1 × 10⁻² as a decimal. =
  8. 8.Write 4⁴ ÷ 4² as a single power 4ⁿ. What is n?
  9. 9.Write (5⁵)³ as a single power 5ⁿ. What is n?
  10. 10.What is the value of (2/5)⁻¹? =
  11. 11.Write 950 in standard form as 9.5 × 10ⁿ. What is n?
  12. 12.Write 2.6 × 10⁻⁴ as a decimal. =
  13. 13.Write 2.4 × 10⁻² as a decimal. =
  14. 14.Write 6.5 × 10⁻⁴ as a decimal. =
  15. 15.Write 6.2 × 10⁻² as a decimal. =
  16. 16.Write 2.5 × 10⁻² as a decimal. =
  17. 17.What is the value of 8²? =
  18. 18.What is the value of 2¹⁴? =
  19. 19.What is the value of 2⁻⁷ (as a fraction)? =
  20. 20.What is the value of 7⁵? =
  21. 21.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  22. 22.Write 6.9 × 10⁻² as a decimal. =
  23. 23.Write 5⁸ × 5⁵ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 4³? =
  25. 25.Write (9⁴)⁵ as a single power 9ⁿ. What is n?
  26. 26.What is the value of (5/6)⁻¹? =
  27. 27.Write 2.2 × 10⁻² as a decimal. =
  28. 28.Write 5⁷ × 5⁶ as a single power 5ⁿ. What is n?
  29. 29.What is the value of 5⁴? =
  30. 30.What is the value of 2¹²? =
  31. 31.8.8 × 10³ =
  32. 32.Write 3⁴ × 3⁹ as a single power 3ⁿ. What is n?
  33. 33.What is the value of 4⁷? =
  34. 34.Write 750 in standard form as 7.5 × 10ⁿ. What is n?
  35. 35.What is the value of 5³ × 5⁻⁴? =
  36. 36.What is the value of 2¹³? =
  37. 37.What is the value of 2³? =
  38. 38.Write 4¹¹ ÷ 4⁵ as a single power 4ⁿ. What is n?
  39. 39.What is the value of 5³? =
  40. 40.Write 3.7 × 10⁻¹ as a decimal. =

Answer key

  1. 8
  2. 1024
  3. 49
  4. 25
  5. 32768
  6. 6
  7. 0.041
  8. 2
  9. 15
  10. 5/2
  11. 2
  12. 0.00026
  13. 0.024
  14. 0.00065
  15. 0.062
  16. 0.025
  17. 64
  18. 16384
  19. 1/128
  20. 16807
  21. 4
  22. 0.069
  23. 13
  24. 64
  25. 20
  26. 6/5
  27. 0.022
  28. 13
  29. 625
  30. 4096
  31. 8800
  32. 13
  33. 16384
  34. 2
  35. 1/5
  36. 8192
  37. 8
  38. 6
  39. 125
  40. 0.37

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