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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 230 · 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 9⁴? =
  2. 2.What is the value of 3¹ × 3⁻¹? =
  3. 3.Write 9¹⁵ ÷ 9⁶ as a single power 9ⁿ. What is n?
  4. 4.What is the value of 2¹⁰? =
  5. 5.Write (3⁸)⁸ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 4⁻³ (as a fraction)? =
  7. 7.What is the value of 5⁵? =
  8. 8.6.5 × 10² =
  9. 9.What is the value of 2⁵ × 2⁻²? =
  10. 10.Write 6.8 × 10⁻² as a decimal. =
  11. 11.What is the value of 4⁴? =
  12. 12.Write 4.2 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 2¹¹? =
  14. 14.8.8 × 10⁷ =
  15. 15.What is the value of 10²? =
  16. 16.Write (5²)³ as a single power 5ⁿ. What is n?
  17. 17.9.4 × 10³ =
  18. 18.What is the value of 5¹ × 5⁻²? =
  19. 19.Write 3⁵ × 3⁵ as a single power 3ⁿ. What is n?
  20. 20.What is the value of 5⁷? =
  21. 21.What is the value of 2⁴ × 2⁻⁵? =
  22. 22.What is the value of 2⁷? =
  23. 23.What is the value of 6⁻² (as a fraction)? =
  24. 24.What is the value of 8⁻¹ (as a fraction)? =
  25. 25.Write 5² × 5³ as a single power 5ⁿ. What is n?
  26. 26.Write (3⁵)³ as a single power 3ⁿ. What is n?
  27. 27.What is the value of 2⁶? =
  28. 28.1.1 × 10⁷ =
  29. 29.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
  30. 30.What is the value of 2⁸? =
  31. 31.What is the value of 2⁵ × 2⁻⁴? =
  32. 32.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  33. 33.Write (2²)⁵ as a single power 2ⁿ. What is n?
  34. 34.Write 42,000 in standard form as 4.2 × 10ⁿ. What is n?
  35. 35.What is the value of 2⁻⁷ (as a fraction)? =
  36. 36.Write 960 in standard form as 9.6 × 10ⁿ. What is n?
  37. 37.Write 7.6 × 10⁻² as a decimal. =
  38. 38.4.9 × 10⁴ =
  39. 39.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  40. 40.What is the value of (1/5)⁻²? =

Answer key

  1. 6561
  2. 1
  3. 9
  4. 1024
  5. 64
  6. 1/64
  7. 3125
  8. 650
  9. 8
  10. 0.068
  11. 256
  12. 0.42
  13. 2048
  14. 88000000
  15. 100
  16. 6
  17. 9400
  18. 1/5
  19. 10
  20. 78125
  21. 1/2
  22. 128
  23. 1/36
  24. 1/8
  25. 5
  26. 15
  27. 64
  28. 11000000
  29. 7
  30. 256
  31. 2
  32. 2
  33. 10
  34. 4
  35. 1/128
  36. 2
  37. 0.076
  38. 49000
  39. 4
  40. 25

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