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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 481 · 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. 1.6.7 × 10⁶ =
  2. 2.What is the value of 2¹³? =
  3. 3.7.4 × 10⁷ =
  4. 4.What is the value of 3⁶? =
  5. 5.What is the value of 2³ × 2⁻⁶? =
  6. 6.What is the value of 3⁻² (as a fraction)? =
  7. 7.What is the value of 4⁵? =
  8. 8.Write 7,40,00,000 in standard form as 7.4 × 10ⁿ. What is n?
  9. 9.5.1 × 10³ =
  10. 10.Write (7⁸)⁴ as a single power 7ⁿ. What is n?
  11. 11.What is the value of 2⁶ × 2⁻⁵? =
  12. 12.Write 8.1 × 10⁻¹ as a decimal. =
  13. 13.Write 3,100 in standard form as 3.1 × 10ⁿ. What is n?
  14. 14.What is the value of 8²? =
  15. 15.Write 9.8 × 10⁻¹ as a decimal. =
  16. 16.Write (5³)⁹ as a single power 5ⁿ. What is n?
  17. 17.What is the value of 5⁵ × 5⁻⁴? =
  18. 18.Write 3.5 × 10⁻¹ as a decimal. =
  19. 19.Write 3.2 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 5³? =
  21. 21.Write 9.6 × 10⁻³ as a decimal. =
  22. 22.What is the value of 5⁶? =
  23. 23.Write (6⁷)³ as a single power 6ⁿ. What is n?
  24. 24.What is the value of 10⁻² (as a fraction)? =
  25. 25.Write 9⁸ ÷ 9⁶ as a single power 9ⁿ. What is n?
  26. 26.What is the value of 4⁶? =
  27. 27.What is the value of 3²? =
  28. 28.What is the value of 10² × 10⁻²? =
  29. 29.What is the value of 5⁻³ (as a fraction)? =
  30. 30.Write 2.1 × 10⁻³ as a decimal. =
  31. 31.Write 6⁸ ÷ 6³ as a single power 6ⁿ. What is n?
  32. 32.What is the value of 2⁻⁶ (as a fraction)? =
  33. 33.What is the value of 2⁻⁷ (as a fraction)? =
  34. 34.Write 9⁷ × 9³ as a single power 9ⁿ. What is n?
  35. 35.What is the value of 10¹ × 10⁻⁶? =
  36. 36.Write 9 × 10⁻³ as a decimal. =
  37. 37.Write (8⁵)² as a single power 8ⁿ. What is n?
  38. 38.6.6 × 10³ =
  39. 39.Write (3⁸)⁶ as a single power 3ⁿ. What is n?
  40. 40.Write 4.6 × 10⁻² as a decimal. =

Answer key

  1. 6700000
  2. 8192
  3. 74000000
  4. 729
  5. 1/8
  6. 1/9
  7. 1024
  8. 7
  9. 5100
  10. 32
  11. 2
  12. 0.81
  13. 3
  14. 64
  15. 0.98
  16. 27
  17. 5
  18. 0.35
  19. 0.32
  20. 125
  21. 0.0096
  22. 15625
  23. 21
  24. 1/100
  25. 2
  26. 4096
  27. 9
  28. 1
  29. 1/125
  30. 0.0021
  31. 5
  32. 1/64
  33. 1/128
  34. 10
  35. 1/100000
  36. 0.009
  37. 10
  38. 6600
  39. 48
  40. 0.046

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