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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 183 · 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 8⁻¹ (as a fraction)? =
  2. 2.What is the value of 3¹⁰? =
  3. 3.Write 9,50,00,000 in standard form as 9.5 × 10ⁿ. What is n?
  4. 4.What is the value of (4/5)⁻¹? =
  5. 5.Write 1.9 × 10⁻¹ as a decimal. =
  6. 6.What is the value of (7/9)⁻¹? =
  7. 7.Write 1.6 × 10⁻³ as a decimal. =
  8. 8.Write 6¹¹ ÷ 6⁹ as a single power 6ⁿ. What is n?
  9. 9.What is the value of 4⁻¹ (as a fraction)? =
  10. 10.What is the value of 2⁷? =
  11. 11.What is the value of 10² × 10⁻⁵? =
  12. 12.Write 71,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  13. 13.Write 7³ × 7³ as a single power 7ⁿ. What is n?
  14. 14.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  15. 15.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
  16. 16.Write 2⁵ × 2⁷ as a single power 2ⁿ. What is n?
  17. 17.Write 5.2 × 10⁻² as a decimal. =
  18. 18.Write 9⁹ × 9⁶ as a single power 9ⁿ. What is n?
  19. 19.Write 60,000 in standard form as 6 × 10ⁿ. What is n?
  20. 20.Write 6.5 × 10⁻³ as a decimal. =
  21. 21.8.1 × 10⁵ =
  22. 22.What is the value of 3² × 3⁻⁵? =
  23. 23.9.5 × 10⁷ =
  24. 24.2 × 10⁵ =
  25. 25.Write 5⁷ × 5⁹ as a single power 5ⁿ. What is n?
  26. 26.What is the value of (2/7)⁻²? =
  27. 27.What is the value of (1/6)⁻²? =
  28. 28.What is the value of 6³? =
  29. 29.What is the value of 2¹²? =
  30. 30.What is the value of 2⁵ × 2⁻³? =
  31. 31.Write 3¹⁶ ÷ 3⁹ as a single power 3ⁿ. What is n?
  32. 32.Write 2.9 × 10⁻¹ as a decimal. =
  33. 33.Write 4.4 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 2⁻⁶ (as a fraction)? =
  35. 35.What is the value of 2¹⁶? =
  36. 36.Write (2³)³ as a single power 2ⁿ. What is n?
  37. 37.What is the value of (5/8)⁻²? =
  38. 38.Write 1.8 × 10⁻² as a decimal. =
  39. 39.What is the value of 5³? =
  40. 40.What is the value of 10⁻³ (as a fraction)? =

Answer key

  1. 1/8
  2. 59049
  3. 7
  4. 5/4
  5. 0.19
  6. 9/7
  7. 0.0016
  8. 2
  9. 1/4
  10. 128
  11. 1/1000
  12. 6
  13. 6
  14. 6
  15. 2
  16. 12
  17. 0.052
  18. 15
  19. 4
  20. 0.0065
  21. 810000
  22. 1/27
  23. 95000000
  24. 200000
  25. 16
  26. 49/4
  27. 36
  28. 216
  29. 4096
  30. 4
  31. 7
  32. 0.29
  33. 0.44
  34. 1/64
  35. 65536
  36. 9
  37. 64/25
  38. 0.018
  39. 125
  40. 1/1000

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