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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 12 · 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 2² × 2⁻¹? =
  2. 2.9.1 × 10⁷ =
  3. 3.Write 1.5 × 10⁻² as a decimal. =
  4. 4.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  5. 5.Write 5.4 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of (2/5)⁻²? =
  7. 7.What is the value of 10⁵? =
  8. 8.Write 2.5 × 10⁻³ as a decimal. =
  9. 9.Write 5³ × 5⁴ as a single power 5ⁿ. What is n?
  10. 10.Write 80,00,000 in standard form as 8 × 10ⁿ. What is n?
  11. 11.Write (9⁹)⁹ as a single power 9ⁿ. What is n?
  12. 12.What is the value of 5⁴ × 5⁻¹? =
  13. 13.What is the value of (2/9)⁻¹? =
  14. 14.Write 4.7 × 10⁻¹ as a decimal. =
  15. 15.Write 3⁴ × 3⁹ as a single power 3ⁿ. What is n?
  16. 16.What is the value of 3⁵ × 3⁻¹? =
  17. 17.Write 47,000 in standard form as 4.7 × 10ⁿ. What is n?
  18. 18.What is the value of 2⁶? =
  19. 19.Write 9.6 × 10⁻³ as a decimal. =
  20. 20.What is the value of 5⁻¹ (as a fraction)? =
  21. 21.What is the value of 10⁴? =
  22. 22.Write 5³ × 5⁷ as a single power 5ⁿ. What is n?
  23. 23.Write 2.2 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 3⁻⁵ (as a fraction)? =
  25. 25.Write 570 in standard form as 5.7 × 10ⁿ. What is n?
  26. 26.Write (2²)² as a single power 2ⁿ. What is n?
  27. 27.What is the value of 6⁻¹ (as a fraction)? =
  28. 28.Write 950 in standard form as 9.5 × 10ⁿ. What is n?
  29. 29.6.4 × 10⁴ =
  30. 30.Write 6.3 × 10⁻¹ as a decimal. =
  31. 31.Write (5⁹)⁷ as a single power 5ⁿ. What is n?
  32. 32.What is the value of (5/7)⁻²? =
  33. 33.What is the value of 5⁶ × 5⁻⁴? =
  34. 34.Write 3.2 × 10⁻³ as a decimal. =
  35. 35.Write 7.4 × 10⁻⁴ as a decimal. =
  36. 36.What is the value of 3⁵ × 3⁻⁵? =
  37. 37.Write 9.2 × 10⁻² as a decimal. =
  38. 38.Write 5.3 × 10⁻⁴ as a decimal. =
  39. 39.8.1 × 10⁴ =
  40. 40.Write 7.1 × 10⁻¹ as a decimal. =

Answer key

  1. 2
  2. 91000000
  3. 0.015
  4. 3
  5. 0.00054
  6. 25/4
  7. 100000
  8. 0.0025
  9. 7
  10. 6
  11. 81
  12. 125
  13. 9/2
  14. 0.47
  15. 13
  16. 81
  17. 4
  18. 64
  19. 0.0096
  20. 1/5
  21. 10000
  22. 10
  23. 0.22
  24. 1/243
  25. 2
  26. 4
  27. 1/6
  28. 2
  29. 64000
  30. 0.63
  31. 63
  32. 49/25
  33. 25
  34. 0.0032
  35. 0.00074
  36. 1
  37. 0.092
  38. 0.00053
  39. 81000
  40. 0.71

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