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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 488 · 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 2¹³? =
  2. 2.7.4 × 10⁶ =
  3. 3.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  4. 4.Write (2³)³ as a single power 2ⁿ. What is n?
  5. 5.What is the value of 4³? =
  6. 6.What is the value of 5¹ × 5⁻²? =
  7. 7.1.9 × 10⁷ =
  8. 8.What is the value of 2¹⁰? =
  9. 9.Write 2.1 × 10⁻³ as a decimal. =
  10. 10.What is the value of 7⁴? =
  11. 11.What is the value of (2/7)⁻²? =
  12. 12.Write (5⁵)⁷ as a single power 5ⁿ. What is n?
  13. 13.What is the value of 5³ × 5⁻⁴? =
  14. 14.What is the value of 2⁶ × 2⁻⁶? =
  15. 15.What is the value of 3² × 3⁻⁶? =
  16. 16.1.8 × 10⁷ =
  17. 17.Write 2.2 × 10⁻² as a decimal. =
  18. 18.8.1 × 10⁴ =
  19. 19.What is the value of (2/3)⁻¹? =
  20. 20.What is the value of 2⁵? =
  21. 21.Write 1.7 × 10⁻¹ as a decimal. =
  22. 22.2.8 × 10⁴ =
  23. 23.7 × 10⁴ =
  24. 24.Write 4¹³ ÷ 4⁷ as a single power 4ⁿ. What is n?
  25. 25.What is the value of 2² × 2⁻⁴? =
  26. 26.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
  27. 27.What is the value of 8⁻¹ (as a fraction)? =
  28. 28.3.4 × 10⁴ =
  29. 29.What is the value of (2/5)⁻¹? =
  30. 30.Write 2.5 × 10⁻² as a decimal. =
  31. 31.What is the value of 5⁻³ (as a fraction)? =
  32. 32.2 × 10⁶ =
  33. 33.What is the value of 2³ × 2⁻⁶? =
  34. 34.What is the value of 2⁵ × 2⁻³? =
  35. 35.What is the value of (5/6)⁻²? =
  36. 36.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  37. 37.What is the value of 3¹⁰? =
  38. 38.Write 5² × 5³ as a single power 5ⁿ. What is n?
  39. 39.What is the value of 10⁻¹ (as a fraction)? =
  40. 40.Write 1.9 × 10⁻³ as a decimal. =

Answer key

  1. 8192
  2. 7400000
  3. 3
  4. 9
  5. 64
  6. 1/5
  7. 19000000
  8. 1024
  9. 0.0021
  10. 2401
  11. 49/4
  12. 35
  13. 1/5
  14. 1
  15. 1/81
  16. 18000000
  17. 0.022
  18. 81000
  19. 3/2
  20. 32
  21. 0.17
  22. 28000
  23. 70000
  24. 6
  25. 1/4
  26. 2
  27. 1/8
  28. 34000
  29. 5/2
  30. 0.025
  31. 1/125
  32. 2000000
  33. 1/8
  34. 4
  35. 36/25
  36. 3
  37. 59049
  38. 5
  39. 1/10
  40. 0.0019

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