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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 603 · 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. 1.1.2 × 10³ =
  2. 2.What is the value of 5³ × 5⁻⁵? =
  3. 3.What is the value of 2⁻² (as a fraction)? =
  4. 4.What is the value of 3⁻³ (as a fraction)? =
  5. 5.What is the value of 10⁴ × 10⁻¹? =
  6. 6.What is the value of 2¹⁵? =
  7. 7.Write 440 in standard form as 4.4 × 10ⁿ. What is n?
  8. 8.Write 8⁴ × 8⁵ as a single power 8ⁿ. What is n?
  9. 9.What is the value of (2/3)⁻²? =
  10. 10.Write 1.2 × 10⁻¹ as a decimal. =
  11. 11.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  12. 12.What is the value of 8⁵? =
  13. 13.What is the value of 7³? =
  14. 14.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
  15. 15.Write 7³ × 7² as a single power 7ⁿ. What is n?
  16. 16.6.5 × 10² =
  17. 17.What is the value of 6⁴? =
  18. 18.Write 4¹⁰ ÷ 4⁷ as a single power 4ⁿ. What is n?
  19. 19.4.1 × 10³ =
  20. 20.Write (9⁹)⁹ as a single power 9ⁿ. What is n?
  21. 21.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  22. 22.What is the value of 5² × 5⁻²? =
  23. 23.Write 58,000 in standard form as 5.8 × 10ⁿ. What is n?
  24. 24.Write 1.7 × 10⁻¹ as a decimal. =
  25. 25.What is the value of 2¹⁶? =
  26. 26.Write 2.4 × 10⁻² as a decimal. =
  27. 27.What is the value of 2¹³? =
  28. 28.Write 35,00,000 in standard form as 3.5 × 10ⁿ. What is n?
  29. 29.What is the value of 2⁶? =
  30. 30.Write (9⁴)⁴ as a single power 9ⁿ. What is n?
  31. 31.8 × 10² =
  32. 32.What is the value of 9³? =
  33. 33.What is the value of (1/5)⁻²? =
  34. 34.What is the value of (1/9)⁻²? =
  35. 35.Write 7.7 × 10⁻⁴ as a decimal. =
  36. 36.Write (7⁹)³ as a single power 7ⁿ. What is n?
  37. 37.Write 9.7 × 10⁻¹ as a decimal. =
  38. 38.Write (9⁷)⁶ as a single power 9ⁿ. What is n?
  39. 39.Write 840 in standard form as 8.4 × 10ⁿ. What is n?
  40. 40.What is the value of 10¹ × 10⁻⁶? =

Answer key

  1. 1200
  2. 1/25
  3. 1/4
  4. 1/27
  5. 1000
  6. 32768
  7. 2
  8. 9
  9. 9/4
  10. 0.12
  11. 3
  12. 32768
  13. 343
  14. 2
  15. 5
  16. 650
  17. 1296
  18. 3
  19. 4100
  20. 81
  21. 8
  22. 1
  23. 4
  24. 0.17
  25. 65536
  26. 0.024
  27. 8192
  28. 6
  29. 64
  30. 16
  31. 800
  32. 729
  33. 25
  34. 81
  35. 0.00077
  36. 27
  37. 0.97
  38. 42
  39. 2
  40. 1/100000

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