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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 445 · 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. 1.8.7 × 10⁷ =
  2. 2.Write (9⁶)² as a single power 9ⁿ. What is n?
  3. 3.2.3 × 10² =
  4. 4.Write 9⁷ × 9⁵ as a single power 9ⁿ. What is n?
  5. 5.Write 3¹³ ÷ 3⁸ as a single power 3ⁿ. What is n?
  6. 6.Write 9⁹ ÷ 9⁵ as a single power 9ⁿ. What is n?
  7. 7.What is the value of 5⁷? =
  8. 8.What is the value of 5³? =
  9. 9.What is the value of 3² × 3⁻⁶? =
  10. 10.What is the value of 2¹⁶? =
  11. 11.What is the value of 9⁻² (as a fraction)? =
  12. 12.4.7 × 10⁷ =
  13. 13.What is the value of 5⁵? =
  14. 14.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
  15. 15.Write 89,000 in standard form as 8.9 × 10ⁿ. What is n?
  16. 16.What is the value of 2⁻² (as a fraction)? =
  17. 17.What is the value of 5⁴? =
  18. 18.Write 8.9 × 10⁻³ as a decimal. =
  19. 19.What is the value of 6²? =
  20. 20.What is the value of (3/5)⁻¹? =
  21. 21.Write (7⁴)³ as a single power 7ⁿ. What is n?
  22. 22.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  23. 23.What is the value of 2⁶? =
  24. 24.Write 8¹³ ÷ 8⁷ as a single power 8ⁿ. What is n?
  25. 25.8.1 × 10³ =
  26. 26.Write 8⁵ × 8⁷ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 4⁷? =
  28. 28.What is the value of 2³ × 2⁻⁵? =
  29. 29.Write 1,60,00,000 in standard form as 1.6 × 10ⁿ. What is n?
  30. 30.What is the value of 5⁶ × 5⁻¹? =
  31. 31.8 × 10⁴ =
  32. 32.What is the value of 10⁻² (as a fraction)? =
  33. 33.What is the value of 2¹ × 2⁻¹? =
  34. 34.7.5 × 10⁷ =
  35. 35.What is the value of 2¹¹? =
  36. 36.What is the value of 5³ × 5⁻⁶? =
  37. 37.What is the value of 10¹ × 10⁻³? =
  38. 38.6.5 × 10⁴ =
  39. 39.Write 1.5 × 10⁻³ as a decimal. =
  40. 40.2.3 × 10⁷ =

Answer key

  1. 87000000
  2. 12
  3. 230
  4. 12
  5. 5
  6. 4
  7. 78125
  8. 125
  9. 1/81
  10. 65536
  11. 1/81
  12. 47000000
  13. 3125
  14. 5
  15. 4
  16. 1/4
  17. 625
  18. 0.0089
  19. 36
  20. 5/3
  21. 12
  22. 7
  23. 64
  24. 6
  25. 8100
  26. 12
  27. 16384
  28. 1/4
  29. 7
  30. 3125
  31. 80000
  32. 1/100
  33. 1
  34. 75000000
  35. 2048
  36. 1/125
  37. 1/100
  38. 65000
  39. 0.0015
  40. 23000000

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