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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 153 · 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.What is the value of 2³ × 2⁻²? =
  2. 2.Write 8.7 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 2² × 2⁻⁵? =
  4. 4.What is the value of (1/6)⁻²? =
  5. 5.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  6. 6.7.6 × 10⁷ =
  7. 7.4.6 × 10⁴ =
  8. 8.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  9. 9.Write 8.2 × 10⁻¹ as a decimal. =
  10. 10.Write 7⁵ × 7⁷ as a single power 7ⁿ. What is n?
  11. 11.What is the value of (1/5)⁻¹? =
  12. 12.Write 6.2 × 10⁻³ as a decimal. =
  13. 13.What is the value of 2¹ × 2⁻¹? =
  14. 14.Write 91,000 in standard form as 9.1 × 10ⁿ. What is n?
  15. 15.What is the value of 6⁴? =
  16. 16.Write 4² × 4⁹ as a single power 4ⁿ. What is n?
  17. 17.What is the value of 5⁶ × 5⁻⁵? =
  18. 18.5 × 10⁴ =
  19. 19.Write 2.6 × 10⁻³ as a decimal. =
  20. 20.What is the value of (2/3)⁻²? =
  21. 21.What is the value of 5⁵ × 5⁻³? =
  22. 22.Write 650 in standard form as 6.5 × 10ⁿ. What is n?
  23. 23.What is the value of (2/5)⁻¹? =
  24. 24.What is the value of 4⁴? =
  25. 25.What is the value of 2⁻⁹ (as a fraction)? =
  26. 26.3.8 × 10² =
  27. 27.What is the value of 10⁴? =
  28. 28.Write 5.4 × 10⁻³ as a decimal. =
  29. 29.Write (4³)³ as a single power 4ⁿ. What is n?
  30. 30.Write 3.5 × 10⁻² as a decimal. =
  31. 31.2.8 × 10⁷ =
  32. 32.What is the value of 5⁵ × 5⁻⁶? =
  33. 33.What is the value of 10² × 10⁻³? =
  34. 34.Write 1.1 × 10⁻⁴ as a decimal. =
  35. 35.Write 8⁵ × 8² as a single power 8ⁿ. What is n?
  36. 36.What is the value of 2²? =
  37. 37.What is the value of 2⁻¹ (as a fraction)? =
  38. 38.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
  39. 39.Write 5,70,00,000 in standard form as 5.7 × 10ⁿ. What is n?
  40. 40.4.7 × 10⁵ =

Answer key

  1. 2
  2. 0.87
  3. 1/8
  4. 36
  5. 7
  6. 76000000
  7. 46000
  8. 6
  9. 0.82
  10. 12
  11. 5
  12. 0.0062
  13. 1
  14. 4
  15. 1296
  16. 11
  17. 5
  18. 50000
  19. 0.0026
  20. 9/4
  21. 25
  22. 2
  23. 5/2
  24. 256
  25. 1/512
  26. 380
  27. 10000
  28. 0.0054
  29. 9
  30. 0.035
  31. 28000000
  32. 1/5
  33. 1/10
  34. 0.00011
  35. 7
  36. 4
  37. 1/2
  38. 12
  39. 7
  40. 470000

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