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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 270 · 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. 2.9 × 10² =
  3. 3.What is the value of 5⁷? =
  4. 4.What is the value of 5⁴? =
  5. 5.Write 2¹⁶ ÷ 2⁹ as a single power 2ⁿ. What is n?
  6. 6.Write (9⁸)⁵ as a single power 9ⁿ. What is n?
  7. 7.7.3 × 10⁵ =
  8. 8.What is the value of 5³ × 5⁻²? =
  9. 9.Write 3.1 × 10⁻² as a decimal. =
  10. 10.What is the value of 10⁶ × 10⁻²? =
  11. 11.What is the value of 3⁶ × 3⁻³? =
  12. 12.Write 7.7 × 10⁻⁴ as a decimal. =
  13. 13.Write 5.4 × 10⁻³ as a decimal. =
  14. 14.Write 4 × 10⁻³ as a decimal. =
  15. 15.Write (8⁵)⁸ as a single power 8ⁿ. What is n?
  16. 16.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  17. 17.Write 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  18. 18.Write 5.2 × 10⁻¹ as a decimal. =
  19. 19.2.3 × 10⁴ =
  20. 20.What is the value of 3¹⁰? =
  21. 21.Write 3⁷ ÷ 3⁵ as a single power 3ⁿ. What is n?
  22. 22.9.9 × 10⁷ =
  23. 23.Write 5.9 × 10⁻³ as a decimal. =
  24. 24.Write 5,30,000 in standard form as 5.3 × 10ⁿ. What is n?
  25. 25.2.5 × 10⁵ =
  26. 26.What is the value of 2⁹? =
  27. 27.Write 3⁸ × 3⁴ as a single power 3ⁿ. What is n?
  28. 28.What is the value of 10² × 10⁻⁵? =
  29. 29.Write 4,000 in standard form as 4 × 10ⁿ. What is n?
  30. 30.What is the value of (5/9)⁻¹? =
  31. 31.What is the value of 5⁻² (as a fraction)? =
  32. 32.Write 5³ × 5⁹ as a single power 5ⁿ. What is n?
  33. 33.Write 4,50,000 in standard form as 4.5 × 10ⁿ. What is n?
  34. 34.Write 6² × 6⁹ as a single power 6ⁿ. What is n?
  35. 35.Write 9⁸ × 9³ as a single power 9ⁿ. What is n?
  36. 36.What is the value of 2¹³? =
  37. 37.9.1 × 10³ =
  38. 38.What is the value of 5¹ × 5⁻¹? =
  39. 39.1.3 × 10² =
  40. 40.Write 5.3 × 10⁻¹ as a decimal. =

Answer key

  1. 8
  2. 900
  3. 78125
  4. 625
  5. 7
  6. 40
  7. 730000
  8. 5
  9. 0.031
  10. 10000
  11. 27
  12. 0.00077
  13. 0.0054
  14. 0.004
  15. 40
  16. 2
  17. 3
  18. 0.52
  19. 23000
  20. 59049
  21. 2
  22. 99000000
  23. 0.0059
  24. 5
  25. 250000
  26. 512
  27. 12
  28. 1/1000
  29. 3
  30. 9/5
  31. 1/25
  32. 12
  33. 5
  34. 11
  35. 11
  36. 8192
  37. 9100
  38. 1
  39. 130
  40. 0.53

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