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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 621 · 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 2⁻⁸ (as a fraction)? =
  2. 2.2.3 × 10⁵ =
  3. 3.What is the value of 2¹²? =
  4. 4.Write 290 in standard form as 2.9 × 10ⁿ. What is n?
  5. 5.Write (4⁸)⁴ as a single power 4ⁿ. What is n?
  6. 6.Write 1,60,000 in standard form as 1.6 × 10ⁿ. What is n?
  7. 7.Write 7¹⁰ ÷ 7³ as a single power 7ⁿ. What is n?
  8. 8.Write 8.9 × 10⁻² as a decimal. =
  9. 9.What is the value of 3²? =
  10. 10.What is the value of 7²? =
  11. 11.What is the value of 2¹⁰? =
  12. 12.Write 6,90,00,000 in standard form as 6.9 × 10ⁿ. What is n?
  13. 13.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  14. 14.Write 8.7 × 10⁻¹ as a decimal. =
  15. 15.Write 5.5 × 10⁻¹ as a decimal. =
  16. 16.Write (4⁴)³ as a single power 4ⁿ. What is n?
  17. 17.What is the value of 2⁷? =
  18. 18.7.3 × 10³ =
  19. 19.What is the value of 4³? =
  20. 20.Write (9⁹)⁹ as a single power 9ⁿ. What is n?
  21. 21.Write 7,700 in standard form as 7.7 × 10ⁿ. What is n?
  22. 22.What is the value of 5³? =
  23. 23.What is the value of 4⁵? =
  24. 24.What is the value of (3/4)⁻²? =
  25. 25.What is the value of 5¹ × 5⁻¹? =
  26. 26.What is the value of 4⁻³ (as a fraction)? =
  27. 27.What is the value of 2⁹? =
  28. 28.What is the value of 2⁻¹ (as a fraction)? =
  29. 29.What is the value of 3⁻³ (as a fraction)? =
  30. 30.8.6 × 10³ =
  31. 31.Write 2 × 10⁻² as a decimal. =
  32. 32.What is the value of 2⁻⁹ (as a fraction)? =
  33. 33.Write 2.7 × 10⁻³ as a decimal. =
  34. 34.Write 2⁹ × 2⁶ as a single power 2ⁿ. What is n?
  35. 35.Write 3⁸ × 3⁴ as a single power 3ⁿ. What is n?
  36. 36.Write 1.8 × 10⁻¹ as a decimal. =
  37. 37.What is the value of (5/8)⁻¹? =
  38. 38.What is the value of 2² × 2⁻¹? =
  39. 39.Write 1.8 × 10⁻³ as a decimal. =
  40. 40.Write 880 in standard form as 8.8 × 10ⁿ. What is n?

Answer key

  1. 1/256
  2. 230000
  3. 4096
  4. 2
  5. 32
  6. 5
  7. 7
  8. 0.089
  9. 9
  10. 49
  11. 1024
  12. 7
  13. 3
  14. 0.87
  15. 0.55
  16. 12
  17. 128
  18. 7300
  19. 64
  20. 81
  21. 3
  22. 125
  23. 1024
  24. 16/9
  25. 1
  26. 1/64
  27. 512
  28. 1/2
  29. 1/27
  30. 8600
  31. 0.02
  32. 1/512
  33. 0.0027
  34. 15
  35. 12
  36. 0.18
  37. 8/5
  38. 2
  39. 0.0018
  40. 2

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