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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 429 · 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. 1.2.4 × 10⁷ =
  2. 2.Write 3.6 × 10⁻¹ as a decimal. =
  3. 3.What is the value of 5² × 5⁻⁵? =
  4. 4.Write 3¹⁰ ÷ 3⁷ as a single power 3ⁿ. What is n?
  5. 5.What is the value of 5¹ × 5⁻¹? =
  6. 6.What is the value of 2³? =
  7. 7.What is the value of 10⁻³ (as a fraction)? =
  8. 8.Write 3 × 10⁻² as a decimal. =
  9. 9.What is the value of 8⁴? =
  10. 10.What is the value of 2⁴ × 2⁻⁶? =
  11. 11.Write 8,60,00,000 in standard form as 8.6 × 10ⁿ. What is n?
  12. 12.Write 6⁷ × 6⁹ as a single power 6ⁿ. What is n?
  13. 13.What is the value of 8³? =
  14. 14.4.3 × 10⁴ =
  15. 15.Write (2²)⁸ as a single power 2ⁿ. What is n?
  16. 16.Write 9¹⁴ ÷ 9⁶ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 3⁻⁶ (as a fraction)? =
  18. 18.What is the value of 10⁴? =
  19. 19.What is the value of 3⁶ × 3⁻³? =
  20. 20.What is the value of 2⁶? =
  21. 21.What is the value of 6²? =
  22. 22.9.9 × 10³ =
  23. 23.Write 3,200 in standard form as 3.2 × 10ⁿ. What is n?
  24. 24.Write 2³ × 2² as a single power 2ⁿ. What is n?
  25. 25.Write 3.7 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 9⁴? =
  27. 27.What is the value of (1/6)⁻¹? =
  28. 28.Write 2⁸ × 2² as a single power 2ⁿ. What is n?
  29. 29.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
  30. 30.Write 3⁹ × 3⁴ as a single power 3ⁿ. What is n?
  31. 31.What is the value of (1/3)⁻²? =
  32. 32.Write 77,000 in standard form as 7.7 × 10ⁿ. What is n?
  33. 33.Write (9⁸)² as a single power 9ⁿ. What is n?
  34. 34.What is the value of 3²? =
  35. 35.What is the value of 3⁴? =
  36. 36.What is the value of (3/5)⁻¹? =
  37. 37.2.3 × 10⁶ =
  38. 38.What is the value of 10² × 10⁻²? =
  39. 39.Write 8¹¹ ÷ 8⁸ as a single power 8ⁿ. What is n?
  40. 40.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?

Answer key

  1. 24000000
  2. 0.36
  3. 1/125
  4. 3
  5. 1
  6. 8
  7. 1/1000
  8. 0.03
  9. 4096
  10. 1/4
  11. 7
  12. 16
  13. 512
  14. 43000
  15. 16
  16. 8
  17. 1/729
  18. 10000
  19. 27
  20. 64
  21. 36
  22. 9900
  23. 3
  24. 5
  25. 0.37
  26. 6561
  27. 6
  28. 10
  29. 2
  30. 13
  31. 9
  32. 4
  33. 16
  34. 9
  35. 81
  36. 5/3
  37. 2300000
  38. 1
  39. 3
  40. 17

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