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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 232 · 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. 1.9.4 × 10⁶ =
  2. 2.What is the value of 10⁻² (as a fraction)? =
  3. 3.Write 1.1 × 10⁻⁴ as a decimal. =
  4. 4.7.7 × 10² =
  5. 5.What is the value of (5/7)⁻²? =
  6. 6.Write 6.2 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 6⁵? =
  8. 8.Write 7¹³ ÷ 7⁶ as a single power 7ⁿ. What is n?
  9. 9.Write 9.5 × 10⁻¹ as a decimal. =
  10. 10.What is the value of 10² × 10⁻²? =
  11. 11.What is the value of 5⁻³ (as a fraction)? =
  12. 12.What is the value of (2/9)⁻²? =
  13. 13.What is the value of 5³? =
  14. 14.Write 6.1 × 10⁻² as a decimal. =
  15. 15.Write 8⁷ ÷ 8³ as a single power 8ⁿ. What is n?
  16. 16.What is the value of 10³ × 10⁻⁴? =
  17. 17.What is the value of 2⁸? =
  18. 18.What is the value of 4⁸? =
  19. 19.Write 2.2 × 10⁻¹ as a decimal. =
  20. 20.Write (3⁷)² as a single power 3ⁿ. What is n?
  21. 21.What is the value of 5⁴ × 5⁻⁴? =
  22. 22.Write 2,10,000 in standard form as 2.1 × 10ⁿ. What is n?
  23. 23.3.4 × 10⁵ =
  24. 24.Write 6.7 × 10⁻² as a decimal. =
  25. 25.Write 2¹⁷ ÷ 2⁸ as a single power 2ⁿ. What is n?
  26. 26.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
  27. 27.Write 1.2 × 10⁻² as a decimal. =
  28. 28.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
  29. 29.What is the value of (8/9)⁻²? =
  30. 30.2.4 × 10⁵ =
  31. 31.1.2 × 10⁶ =
  32. 32.What is the value of (7/9)⁻¹? =
  33. 33.Write 2,50,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  34. 34.What is the value of 2² × 2⁻⁵? =
  35. 35.What is the value of 8²? =
  36. 36.What is the value of 5⁴ × 5⁻²? =
  37. 37.What is the value of 2⁵ × 2⁻⁵? =
  38. 38.What is the value of 2¹⁰? =
  39. 39.What is the value of 2¹²? =
  40. 40.Write 7² × 7⁸ as a single power 7ⁿ. What is n?

Answer key

  1. 9400000
  2. 1/100
  3. 0.00011
  4. 770
  5. 49/25
  6. 0.62
  7. 7776
  8. 7
  9. 0.95
  10. 1
  11. 1/125
  12. 81/4
  13. 125
  14. 0.061
  15. 4
  16. 1/10
  17. 256
  18. 65536
  19. 0.22
  20. 14
  21. 1
  22. 5
  23. 340000
  24. 0.067
  25. 9
  26. 7
  27. 0.012
  28. 11
  29. 81/64
  30. 240000
  31. 1200000
  32. 9/7
  33. 7
  34. 1/8
  35. 64
  36. 25
  37. 1
  38. 1024
  39. 4096
  40. 10

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