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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 485 · 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 770 in standard form as 7.7 × 10ⁿ. What is n?
  2. 2.Write 9.1 × 10⁻² as a decimal. =
  3. 3.What is the value of 5³ × 5⁻⁶? =
  4. 4.Write 3² × 3⁹ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 2⁹? =
  6. 6.What is the value of 8⁴? =
  7. 7.What is the value of 8³? =
  8. 8.Write 2.4 × 10⁻¹ as a decimal. =
  9. 9.What is the value of 9⁴? =
  10. 10.What is the value of 3⁵ × 3⁻²? =
  11. 11.What is the value of 9²? =
  12. 12.What is the value of 2³ × 2⁻¹? =
  13. 13.What is the value of 4⁻³ (as a fraction)? =
  14. 14.Write (2²)³ as a single power 2ⁿ. What is n?
  15. 15.Write (6⁹)⁷ as a single power 6ⁿ. What is n?
  16. 16.What is the value of 2¹ × 2⁻⁴? =
  17. 17.What is the value of 10⁻² (as a fraction)? =
  18. 18.What is the value of 10² × 10⁻⁵? =
  19. 19.What is the value of 2⁸? =
  20. 20.Write 5 × 10⁻¹ as a decimal. =
  21. 21.What is the value of 5²? =
  22. 22.What is the value of 5⁵ × 5⁻¹? =
  23. 23.What is the value of (3/5)⁻²? =
  24. 24.What is the value of (1/9)⁻²? =
  25. 25.Write 5⁴ ÷ 5² as a single power 5ⁿ. What is n?
  26. 26.Write 3.9 × 10⁻² as a decimal. =
  27. 27.What is the value of 5¹ × 5⁻²? =
  28. 28.Write 4,00,00,000 in standard form as 4 × 10ⁿ. What is n?
  29. 29.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  30. 30.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  31. 31.Write (8⁵)³ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 2¹⁵? =
  33. 33.8.9 × 10³ =
  34. 34.What is the value of 2⁶? =
  35. 35.What is the value of 3⁸? =
  36. 36.What is the value of 3²? =
  37. 37.What is the value of (7/8)⁻²? =
  38. 38.What is the value of 10⁵ × 10⁻⁵? =
  39. 39.Write 4,80,000 in standard form as 4.8 × 10ⁿ. What is n?
  40. 40.Write 2² × 2⁹ as a single power 2ⁿ. What is n?

Answer key

  1. 2
  2. 0.091
  3. 1/125
  4. 11
  5. 512
  6. 4096
  7. 512
  8. 0.24
  9. 6561
  10. 27
  11. 81
  12. 4
  13. 1/64
  14. 6
  15. 63
  16. 1/8
  17. 1/100
  18. 1/1000
  19. 256
  20. 0.5
  21. 25
  22. 625
  23. 25/9
  24. 81
  25. 2
  26. 0.039
  27. 1/5
  28. 7
  29. 4
  30. 6
  31. 15
  32. 32768
  33. 8900
  34. 64
  35. 6561
  36. 9
  37. 64/49
  38. 1
  39. 5
  40. 11

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