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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 214 · 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 7³? =
  2. 2.Write 7¹⁰ ÷ 7⁶ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 3⁻¹ (as a fraction)? =
  4. 4.Write 9.2 × 10⁻⁴ as a decimal. =
  5. 5.Write 2.7 × 10⁻⁴ as a decimal. =
  6. 6.Write (4³)⁸ as a single power 4ⁿ. What is n?
  7. 7.What is the value of 8³? =
  8. 8.What is the value of 10²? =
  9. 9.What is the value of 5⁵? =
  10. 10.Write 8.5 × 10⁻⁴ as a decimal. =
  11. 11.Write 8 × 10⁻² as a decimal. =
  12. 12.What is the value of 6³? =
  13. 13.Write 3⁷ × 3⁹ as a single power 3ⁿ. What is n?
  14. 14.Write 2.2 × 10⁻⁴ as a decimal. =
  15. 15.Write 76,00,000 in standard form as 7.6 × 10ⁿ. What is n?
  16. 16.Write 6 × 10⁻³ as a decimal. =
  17. 17.What is the value of 6⁴? =
  18. 18.Write 8¹¹ ÷ 8⁴ as a single power 8ⁿ. What is n?
  19. 19.What is the value of 5⁶ × 5⁻⁵? =
  20. 20.What is the value of 3¹ × 3⁻¹? =
  21. 21.7.1 × 10² =
  22. 22.What is the value of 2¹ × 2⁻⁶? =
  23. 23.Write 2.5 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 2⁷? =
  25. 25.What is the value of 10³? =
  26. 26.Write 9 × 10⁻² as a decimal. =
  27. 27.What is the value of (1/8)⁻¹? =
  28. 28.What is the value of 10⁵? =
  29. 29.What is the value of 3⁶? =
  30. 30.What is the value of (4/5)⁻¹? =
  31. 31.What is the value of 3⁻⁴ (as a fraction)? =
  32. 32.What is the value of 2¹ × 2⁻³? =
  33. 33.What is the value of 10⁻² (as a fraction)? =
  34. 34.What is the value of 2⁶? =
  35. 35.What is the value of 5² × 5⁻²? =
  36. 36.8.6 × 10³ =
  37. 37.Write 2⁹ ÷ 2⁷ as a single power 2ⁿ. What is n?
  38. 38.Write 1,30,000 in standard form as 1.3 × 10ⁿ. What is n?
  39. 39.Write (6⁹)⁸ as a single power 6ⁿ. What is n?
  40. 40.Write 2,20,000 in standard form as 2.2 × 10ⁿ. What is n?

Answer key

  1. 343
  2. 4
  3. 1/3
  4. 0.00092
  5. 0.00027
  6. 24
  7. 512
  8. 100
  9. 3125
  10. 0.00085
  11. 0.08
  12. 216
  13. 16
  14. 0.00022
  15. 6
  16. 0.006
  17. 1296
  18. 7
  19. 5
  20. 1
  21. 710
  22. 1/32
  23. 0.25
  24. 128
  25. 1000
  26. 0.09
  27. 8
  28. 100000
  29. 729
  30. 5/4
  31. 1/81
  32. 1/4
  33. 1/100
  34. 64
  35. 1
  36. 8600
  37. 2
  38. 5
  39. 72
  40. 5

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