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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 57 · 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 3.3 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 2⁶ × 2⁻¹? =
  3. 3.1.8 × 10⁵ =
  4. 4.What is the value of 2² × 2⁻¹? =
  5. 5.Write 2.8 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 3⁻⁵ (as a fraction)? =
  7. 7.9.5 × 10² =
  8. 8.Write (5⁷)³ as a single power 5ⁿ. What is n?
  9. 9.What is the value of 6⁶? =
  10. 10.What is the value of 10⁴ × 10⁻⁶? =
  11. 11.What is the value of 2⁵ × 2⁻⁴? =
  12. 12.What is the value of 10⁵ × 10⁻¹? =
  13. 13.What is the value of 2⁶ × 2⁻⁶? =
  14. 14.What is the value of 5⁶ × 5⁻⁴? =
  15. 15.What is the value of 2² × 2⁻⁵? =
  16. 16.What is the value of 3⁴ × 3⁻¹? =
  17. 17.What is the value of 5³ × 5⁻⁵? =
  18. 18.What is the value of (4/7)⁻¹? =
  19. 19.What is the value of (4/5)⁻¹? =
  20. 20.Write 6¹⁴ ÷ 6⁷ as a single power 6ⁿ. What is n?
  21. 21.What is the value of 5³ × 5⁻³? =
  22. 22.Write (2²)⁷ as a single power 2ⁿ. What is n?
  23. 23.Write 2.2 × 10⁻¹ as a decimal. =
  24. 24.3.3 × 10² =
  25. 25.What is the value of 2⁻⁹ (as a fraction)? =
  26. 26.Write (7²)⁷ as a single power 7ⁿ. What is n?
  27. 27.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  28. 28.What is the value of 5⁴ × 5⁻²? =
  29. 29.Write 470 in standard form as 4.7 × 10ⁿ. What is n?
  30. 30.Write 5¹⁶ ÷ 5⁷ as a single power 5ⁿ. What is n?
  31. 31.What is the value of 5⁴ × 5⁻⁶? =
  32. 32.Write 3¹² ÷ 3⁸ as a single power 3ⁿ. What is n?
  33. 33.Write 7⁴ ÷ 7² as a single power 7ⁿ. What is n?
  34. 34.What is the value of (5/9)⁻²? =
  35. 35.What is the value of 2³ × 2⁻¹? =
  36. 36.Write 4.9 × 10⁻² as a decimal. =
  37. 37.Write (9²)⁹ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 2⁻⁴ (as a fraction)? =
  39. 39.Write 5 × 10⁻⁴ as a decimal. =
  40. 40.8.1 × 10⁷ =

Answer key

  1. 0.33
  2. 32
  3. 180000
  4. 2
  5. 0.28
  6. 1/243
  7. 950
  8. 21
  9. 46656
  10. 1/100
  11. 2
  12. 10000
  13. 1
  14. 25
  15. 1/8
  16. 27
  17. 1/25
  18. 7/4
  19. 5/4
  20. 7
  21. 1
  22. 14
  23. 0.22
  24. 330
  25. 1/512
  26. 14
  27. 5
  28. 25
  29. 2
  30. 9
  31. 1/25
  32. 4
  33. 2
  34. 81/25
  35. 4
  36. 0.049
  37. 18
  38. 1/16
  39. 0.0005
  40. 81000000

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