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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 842 · 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 9⁹ × 9³ as a single power 9ⁿ. What is n?
  2. 2.Write 1,900 in standard form as 1.9 × 10ⁿ. What is n?
  3. 3.Write 3⁶ ÷ 3² as a single power 3ⁿ. What is n?
  4. 4.What is the value of (8/9)⁻²? =
  5. 5.What is the value of (5/6)⁻¹? =
  6. 6.Write 8⁶ × 8⁴ as a single power 8ⁿ. What is n?
  7. 7.What is the value of 3¹⁰? =
  8. 8.What is the value of 6³? =
  9. 9.Write 8.1 × 10⁻⁴ as a decimal. =
  10. 10.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
  11. 11.What is the value of 2⁻⁵ (as a fraction)? =
  12. 12.Write (8⁵)⁴ as a single power 8ⁿ. What is n?
  13. 13.What is the value of 2⁻⁶ (as a fraction)? =
  14. 14.Write 5² × 5⁵ as a single power 5ⁿ. What is n?
  15. 15.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  16. 16.Write 55,00,000 in standard form as 5.5 × 10ⁿ. What is n?
  17. 17.Write 3 × 10⁻² as a decimal. =
  18. 18.What is the value of 3³? =
  19. 19.Write 14,00,000 in standard form as 1.4 × 10ⁿ. What is n?
  20. 20.What is the value of 2¹⁰? =
  21. 21.7.7 × 10⁴ =
  22. 22.Write (8²)³ as a single power 8ⁿ. What is n?
  23. 23.What is the value of 3⁵ × 3⁻⁴? =
  24. 24.What is the value of 5⁻⁴ (as a fraction)? =
  25. 25.What is the value of 10²? =
  26. 26.What is the value of (3/5)⁻¹? =
  27. 27.What is the value of 2¹⁴? =
  28. 28.Write (5⁶)³ as a single power 5ⁿ. What is n?
  29. 29.What is the value of 5⁻² (as a fraction)? =
  30. 30.Write (3⁴)³ as a single power 3ⁿ. What is n?
  31. 31.3.2 × 10⁴ =
  32. 32.What is the value of 3³ × 3⁻⁵? =
  33. 33.6.3 × 10⁵ =
  34. 34.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  35. 35.Write 7 × 10⁻¹ as a decimal. =
  36. 36.Write 1.9 × 10⁻² as a decimal. =
  37. 37.What is the value of 6⁴? =
  38. 38.Write 8.1 × 10⁻¹ as a decimal. =
  39. 39.Write 4.4 × 10⁻³ as a decimal. =
  40. 40.What is the value of 10¹ × 10⁻²? =

Answer key

  1. 12
  2. 3
  3. 4
  4. 81/64
  5. 6/5
  6. 10
  7. 59049
  8. 216
  9. 0.00081
  10. 2
  11. 1/32
  12. 20
  13. 1/64
  14. 7
  15. 24
  16. 6
  17. 0.03
  18. 27
  19. 6
  20. 1024
  21. 77000
  22. 6
  23. 3
  24. 1/625
  25. 100
  26. 5/3
  27. 16384
  28. 18
  29. 1/25
  30. 12
  31. 32000
  32. 1/9
  33. 630000
  34. 10
  35. 0.7
  36. 0.019
  37. 1296
  38. 0.81
  39. 0.0044
  40. 1/10

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