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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 666 · 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 73,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  2. 2.What is the value of (4/9)⁻¹? =
  3. 3.1.4 × 10⁵ =
  4. 4.What is the value of 9²? =
  5. 5.Write 3.2 × 10⁻³ as a decimal. =
  6. 6.Write 5⁸ × 5⁴ as a single power 5ⁿ. What is n?
  7. 7.What is the value of (4/9)⁻²? =
  8. 8.What is the value of 5⁻² (as a fraction)? =
  9. 9.Write 3.2 × 10⁻⁴ as a decimal. =
  10. 10.Write (3⁸)⁴ as a single power 3ⁿ. What is n?
  11. 11.What is the value of (4/7)⁻²? =
  12. 12.Write 7³ × 7⁷ as a single power 7ⁿ. What is n?
  13. 13.8.4 × 10⁵ =
  14. 14.What is the value of 2⁻⁵ (as a fraction)? =
  15. 15.Write 7.8 × 10⁻¹ as a decimal. =
  16. 16.1.5 × 10⁵ =
  17. 17.Write 2.6 × 10⁻¹ as a decimal. =
  18. 18.Write (8⁵)⁸ as a single power 8ⁿ. What is n?
  19. 19.Write 4 × 10⁻² as a decimal. =
  20. 20.Write 8⁹ × 8⁵ as a single power 8ⁿ. What is n?
  21. 21.What is the value of (4/5)⁻²? =
  22. 22.Write 1.5 × 10⁻² as a decimal. =
  23. 23.What is the value of 8²? =
  24. 24.Write 1.8 × 10⁻⁴ as a decimal. =
  25. 25.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
  26. 26.What is the value of 2⁵ × 2⁻²? =
  27. 27.What is the value of (3/4)⁻¹? =
  28. 28.What is the value of 2¹⁵? =
  29. 29.Write 45,000 in standard form as 4.5 × 10ⁿ. What is n?
  30. 30.What is the value of 3⁶ × 3⁻²? =
  31. 31.What is the value of 5¹ × 5⁻⁶? =
  32. 32.Write 6.7 × 10⁻³ as a decimal. =
  33. 33.What is the value of (1/5)⁻²? =
  34. 34.What is the value of 10¹ × 10⁻¹? =
  35. 35.What is the value of 2⁴ × 2⁻³? =
  36. 36.7.4 × 10⁵ =
  37. 37.What is the value of 10² × 10⁻³? =
  38. 38.Write 9.7 × 10⁻² as a decimal. =
  39. 39.Write 9.2 × 10⁻⁴ as a decimal. =
  40. 40.Write 9⁶ × 9² as a single power 9ⁿ. What is n?

Answer key

  1. 6
  2. 9/4
  3. 140000
  4. 81
  5. 0.0032
  6. 12
  7. 81/16
  8. 1/25
  9. 0.00032
  10. 32
  11. 49/16
  12. 10
  13. 840000
  14. 1/32
  15. 0.78
  16. 150000
  17. 0.26
  18. 40
  19. 0.04
  20. 14
  21. 25/16
  22. 0.015
  23. 64
  24. 0.00018
  25. 9
  26. 8
  27. 4/3
  28. 32768
  29. 4
  30. 81
  31. 1/3125
  32. 0.0067
  33. 25
  34. 1
  35. 2
  36. 740000
  37. 1/10
  38. 0.097
  39. 0.00092
  40. 8

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