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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 817 · 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 (5/6)⁻²? =
  2. 2.Write 9 × 10⁻² as a decimal. =
  3. 3.What is the value of 3⁴ × 3⁻³? =
  4. 4.What is the value of 5⁶? =
  5. 5.What is the value of 8⁵? =
  6. 6.What is the value of 2⁻⁹ (as a fraction)? =
  7. 7.What is the value of 4²? =
  8. 8.What is the value of 10³ × 10⁻⁴? =
  9. 9.What is the value of 5⁻¹ (as a fraction)? =
  10. 10.Write 2,60,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  11. 11.What is the value of 2¹⁰? =
  12. 12.Write 6¹⁰ ÷ 6² as a single power 6ⁿ. What is n?
  13. 13.What is the value of 2⁻³ (as a fraction)? =
  14. 14.What is the value of 9²? =
  15. 15.Write 8.7 × 10⁻³ as a decimal. =
  16. 16.Write 2,80,000 in standard form as 2.8 × 10ⁿ. What is n?
  17. 17.What is the value of 2¹¹? =
  18. 18.4.5 × 10⁷ =
  19. 19.What is the value of 10² × 10⁻⁶? =
  20. 20.What is the value of 2⁶ × 2⁻³? =
  21. 21.Write 7⁵ × 7⁸ as a single power 7ⁿ. What is n?
  22. 22.Write 360 in standard form as 3.6 × 10ⁿ. What is n?
  23. 23.Write (2⁵)⁷ as a single power 2ⁿ. What is n?
  24. 24.Write 8.5 × 10⁻⁴ as a decimal. =
  25. 25.8.6 × 10⁴ =
  26. 26.Write 33,00,000 in standard form as 3.3 × 10ⁿ. What is n?
  27. 27.What is the value of 8⁻² (as a fraction)? =
  28. 28.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  29. 29.What is the value of (4/7)⁻¹? =
  30. 30.Write 6⁵ × 6³ as a single power 6ⁿ. What is n?
  31. 31.8.5 × 10⁵ =
  32. 32.What is the value of 2⁻⁷ (as a fraction)? =
  33. 33.What is the value of 3⁷? =
  34. 34.Write 2,80,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  35. 35.What is the value of 9⁻³ (as a fraction)? =
  36. 36.Write (3⁹)⁶ as a single power 3ⁿ. What is n?
  37. 37.What is the value of 7²? =
  38. 38.Write 3.1 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of 8⁻¹ (as a fraction)? =
  40. 40.Write 3¹⁰ ÷ 3⁶ as a single power 3ⁿ. What is n?

Answer key

  1. 36/25
  2. 0.09
  3. 3
  4. 15625
  5. 32768
  6. 1/512
  7. 16
  8. 1/10
  9. 1/5
  10. 7
  11. 1024
  12. 8
  13. 1/8
  14. 81
  15. 0.0087
  16. 5
  17. 2048
  18. 45000000
  19. 1/10000
  20. 8
  21. 13
  22. 2
  23. 35
  24. 0.00085
  25. 86000
  26. 6
  27. 1/64
  28. 6
  29. 7/4
  30. 8
  31. 850000
  32. 1/128
  33. 2187
  34. 7
  35. 1/729
  36. 54
  37. 49
  38. 0.00031
  39. 1/8
  40. 4

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