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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 721 · 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 6.7 × 10⁻³ as a decimal. =
  2. 2.Write 3.6 × 10⁻³ as a decimal. =
  3. 3.Write 9.5 × 10⁻¹ as a decimal. =
  4. 4.4.2 × 10⁶ =
  5. 5.What is the value of (4/9)⁻²? =
  6. 6.What is the value of 10³ × 10⁻²? =
  7. 7.Write (4⁶)⁹ as a single power 4ⁿ. What is n?
  8. 8.Write 1.9 × 10⁻¹ as a decimal. =
  9. 9.Write (5⁷)⁸ as a single power 5ⁿ. What is n?
  10. 10.Write 200 in standard form as 2 × 10ⁿ. What is n?
  11. 11.Write 8,600 in standard form as 8.6 × 10ⁿ. What is n?
  12. 12.Write 620 in standard form as 6.2 × 10ⁿ. What is n?
  13. 13.Write 6⁶ × 6⁵ as a single power 6ⁿ. What is n?
  14. 14.What is the value of 8⁵? =
  15. 15.What is the value of 2⁴ × 2⁻⁴? =
  16. 16.What is the value of 3⁻⁵ (as a fraction)? =
  17. 17.What is the value of 5²? =
  18. 18.Write 9⁶ × 9⁶ as a single power 9ⁿ. What is n?
  19. 19.What is the value of 8⁻³ (as a fraction)? =
  20. 20.What is the value of 5¹ × 5⁻³? =
  21. 21.What is the value of 2⁶? =
  22. 22.Write 180 in standard form as 1.8 × 10ⁿ. What is n?
  23. 23.What is the value of 4⁵? =
  24. 24.7.7 × 10⁷ =
  25. 25.What is the value of 2¹ × 2⁻³? =
  26. 26.What is the value of 7³? =
  27. 27.What is the value of 10⁶ × 10⁻¹? =
  28. 28.What is the value of 6⁵? =
  29. 29.Write 2.6 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of (5/8)⁻¹? =
  31. 31.Write 8⁷ ÷ 8⁵ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 4⁴? =
  33. 33.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  34. 34.Write (8³)³ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 3⁷? =
  36. 36.What is the value of 4⁻¹ (as a fraction)? =
  37. 37.5.4 × 10⁶ =
  38. 38.3.4 × 10⁶ =
  39. 39.What is the value of 5⁶? =
  40. 40.What is the value of 10² × 10⁻⁴? =

Answer key

  1. 0.0067
  2. 0.0036
  3. 0.95
  4. 4200000
  5. 81/16
  6. 10
  7. 54
  8. 0.19
  9. 56
  10. 2
  11. 3
  12. 2
  13. 11
  14. 32768
  15. 1
  16. 1/243
  17. 25
  18. 12
  19. 1/512
  20. 1/25
  21. 64
  22. 2
  23. 1024
  24. 77000000
  25. 1/4
  26. 343
  27. 100000
  28. 7776
  29. 0.00026
  30. 8/5
  31. 2
  32. 256
  33. 6
  34. 9
  35. 2187
  36. 1/4
  37. 5400000
  38. 3400000
  39. 15625
  40. 1/100

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