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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 309 · 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 (8/9)⁻¹? =
  2. 2.Write 99,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  3. 3.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?
  4. 4.Write 2⁷ × 2⁴ as a single power 2ⁿ. What is n?
  5. 5.Write 8⁶ ÷ 8⁴ as a single power 8ⁿ. What is n?
  6. 6.Write (4⁶)³ as a single power 4ⁿ. What is n?
  7. 7.Write 5,900 in standard form as 5.9 × 10ⁿ. What is n?
  8. 8.What is the value of 2¹ × 2⁻²? =
  9. 9.What is the value of (5/6)⁻¹? =
  10. 10.4.6 × 10⁴ =
  11. 11.Write 7 × 10⁻² as a decimal. =
  12. 12.What is the value of 2⁵? =
  13. 13.What is the value of 5⁵ × 5⁻⁴? =
  14. 14.Write 9¹¹ ÷ 9⁸ as a single power 9ⁿ. What is n?
  15. 15.What is the value of 5⁵ × 5⁻⁵? =
  16. 16.Write 4,80,00,000 in standard form as 4.8 × 10ⁿ. What is n?
  17. 17.6.2 × 10⁴ =
  18. 18.What is the value of 2⁻⁴ (as a fraction)? =
  19. 19.Write 8¹³ ÷ 8⁹ as a single power 8ⁿ. What is n?
  20. 20.Write 6.2 × 10⁻³ as a decimal. =
  21. 21.What is the value of 7²? =
  22. 22.Write 9.8 × 10⁻² as a decimal. =
  23. 23.What is the value of 5² × 5⁻¹? =
  24. 24.Write 5² × 5⁵ as a single power 5ⁿ. What is n?
  25. 25.What is the value of 7⁵? =
  26. 26.Write 29,000 in standard form as 2.9 × 10ⁿ. What is n?
  27. 27.What is the value of 5²? =
  28. 28.What is the value of 6⁻² (as a fraction)? =
  29. 29.Write (7³)⁸ as a single power 7ⁿ. What is n?
  30. 30.Write (9⁵)⁷ as a single power 9ⁿ. What is n?
  31. 31.8.2 × 10² =
  32. 32.Write 6¹³ ÷ 6⁴ as a single power 6ⁿ. What is n?
  33. 33.Write 8⁷ × 8⁹ as a single power 8ⁿ. What is n?
  34. 34.9.3 × 10⁶ =
  35. 35.What is the value of 3⁶? =
  36. 36.What is the value of 5⁴? =
  37. 37.Write 9 × 10⁻¹ as a decimal. =
  38. 38.Write 3.7 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 9⁻² (as a fraction)? =
  40. 40.Write 7¹⁸ ÷ 7⁹ as a single power 7ⁿ. What is n?

Answer key

  1. 9/8
  2. 6
  3. 8
  4. 11
  5. 2
  6. 18
  7. 3
  8. 1/2
  9. 6/5
  10. 46000
  11. 0.07
  12. 32
  13. 5
  14. 3
  15. 1
  16. 7
  17. 62000
  18. 1/16
  19. 4
  20. 0.0062
  21. 49
  22. 0.098
  23. 5
  24. 7
  25. 16807
  26. 4
  27. 25
  28. 1/36
  29. 24
  30. 35
  31. 820
  32. 9
  33. 16
  34. 9300000
  35. 729
  36. 625
  37. 0.9
  38. 0.37
  39. 1/81
  40. 9

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