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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 763 · 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 (2⁴)³ as a single power 2ⁿ. What is n?
  2. 2.Write 4³ × 4⁵ as a single power 4ⁿ. What is n?
  3. 3.What is the value of 2² × 2⁻²? =
  4. 4.What is the value of 3⁴ × 3⁻⁴? =
  5. 5.Write 2⁸ ÷ 2⁶ as a single power 2ⁿ. What is n?
  6. 6.What is the value of 5² × 5⁻⁶? =
  7. 7.7 × 10⁶ =
  8. 8.Write 6⁹ ÷ 6³ as a single power 6ⁿ. What is n?
  9. 9.What is the value of 10³? =
  10. 10.What is the value of (3/8)⁻²? =
  11. 11.Write 1.4 × 10⁻¹ as a decimal. =
  12. 12.What is the value of 2¹⁶? =
  13. 13.Write 2.8 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of 3⁹? =
  15. 15.What is the value of 10⁵ × 10⁻²? =
  16. 16.What is the value of (5/6)⁻²? =
  17. 17.Write 7.5 × 10⁻² as a decimal. =
  18. 18.What is the value of (5/9)⁻¹? =
  19. 19.What is the value of 2⁶? =
  20. 20.What is the value of 10² × 10⁻¹? =
  21. 21.Write (2⁴)⁷ as a single power 2ⁿ. What is n?
  22. 22.What is the value of 3⁵ × 3⁻⁴? =
  23. 23.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  24. 24.Write 1.1 × 10⁻³ as a decimal. =
  25. 25.What is the value of 2⁴ × 2⁻³? =
  26. 26.What is the value of (4/7)⁻¹? =
  27. 27.What is the value of (4/5)⁻¹? =
  28. 28.What is the value of 2¹⁰? =
  29. 29.What is the value of 6⁶? =
  30. 30.What is the value of (4/9)⁻¹? =
  31. 31.Write 2.2 × 10⁻² as a decimal. =
  32. 32.What is the value of 9³? =
  33. 33.Write 7⁵ × 7⁷ as a single power 7ⁿ. What is n?
  34. 34.What is the value of 5² × 5⁻⁴? =
  35. 35.What is the value of 7⁵? =
  36. 36.What is the value of 2² × 2⁻³? =
  37. 37.Write 3.5 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 5⁻⁴ (as a fraction)? =
  39. 39.Write 6 × 10⁻¹ as a decimal. =
  40. 40.5.5 × 10⁴ =

Answer key

  1. 12
  2. 8
  3. 1
  4. 1
  5. 2
  6. 1/625
  7. 7000000
  8. 6
  9. 1000
  10. 64/9
  11. 0.14
  12. 65536
  13. 0.00028
  14. 19683
  15. 1000
  16. 36/25
  17. 0.075
  18. 9/5
  19. 64
  20. 10
  21. 28
  22. 3
  23. 6
  24. 0.0011
  25. 2
  26. 7/4
  27. 5/4
  28. 1024
  29. 46656
  30. 9/4
  31. 0.022
  32. 729
  33. 12
  34. 1/25
  35. 16807
  36. 1/2
  37. 0.35
  38. 1/625
  39. 0.6
  40. 55000

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