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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 257 · 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 1.5 × 10⁻⁴ as a decimal. =
  2. 2.What is the value of (4/5)⁻²? =
  3. 3.Write 3⁵ × 3⁹ as a single power 3ⁿ. What is n?
  4. 4.Write 5,600 in standard form as 5.6 × 10ⁿ. What is n?
  5. 5.What is the value of 2² × 2⁻³? =
  6. 6.What is the value of 6⁻² (as a fraction)? =
  7. 7.Write (7⁷)⁸ as a single power 7ⁿ. What is n?
  8. 8.Write 7.4 × 10⁻¹ as a decimal. =
  9. 9.9.4 × 10² =
  10. 10.What is the value of 10⁵? =
  11. 11.Write 7⁵ × 7⁹ as a single power 7ⁿ. What is n?
  12. 12.Write 6,50,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  13. 13.What is the value of 10⁶ × 10⁻²? =
  14. 14.What is the value of 5⁵ × 5⁻²? =
  15. 15.What is the value of 9⁴? =
  16. 16.What is the value of 2⁻⁹ (as a fraction)? =
  17. 17.What is the value of 2² × 2⁻⁴? =
  18. 18.Write 71,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  19. 19.What is the value of 10² × 10⁻⁵? =
  20. 20.What is the value of 10³ × 10⁻³? =
  21. 21.What is the value of (2/9)⁻²? =
  22. 22.Write 7.7 × 10⁻⁴ as a decimal. =
  23. 23.What is the value of 4⁻¹ (as a fraction)? =
  24. 24.What is the value of 5⁵ × 5⁻⁶? =
  25. 25.What is the value of 2⁶? =
  26. 26.Write 5.7 × 10⁻¹ as a decimal. =
  27. 27.Write (4³)⁸ as a single power 4ⁿ. What is n?
  28. 28.Write 4.7 × 10⁻² as a decimal. =
  29. 29.Write 98,00,000 in standard form as 9.8 × 10ⁿ. What is n?
  30. 30.What is the value of 2¹⁰? =
  31. 31.What is the value of 7⁵? =
  32. 32.Write 3² × 3² as a single power 3ⁿ. What is n?
  33. 33.What is the value of 7⁴? =
  34. 34.Write 6² × 6⁴ as a single power 6ⁿ. What is n?
  35. 35.What is the value of 8⁵? =
  36. 36.Write 9¹² ÷ 9⁸ as a single power 9ⁿ. What is n?
  37. 37.What is the value of 3⁷? =
  38. 38.What is the value of (1/5)⁻¹? =
  39. 39.Write 3.7 × 10⁻² as a decimal. =
  40. 40.What is the value of 3¹ × 3⁻⁵? =

Answer key

  1. 0.00015
  2. 25/16
  3. 14
  4. 3
  5. 1/2
  6. 1/36
  7. 56
  8. 0.74
  9. 940
  10. 100000
  11. 14
  12. 7
  13. 10000
  14. 125
  15. 6561
  16. 1/512
  17. 1/4
  18. 6
  19. 1/1000
  20. 1
  21. 81/4
  22. 0.00077
  23. 1/4
  24. 1/5
  25. 64
  26. 0.57
  27. 24
  28. 0.047
  29. 6
  30. 1024
  31. 16807
  32. 4
  33. 2401
  34. 6
  35. 32768
  36. 4
  37. 2187
  38. 5
  39. 0.037
  40. 1/81

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