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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 688 · 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 9,70,00,000 in standard form as 9.7 × 10ⁿ. What is n?
  2. 2.What is the value of 10⁴ × 10⁻³? =
  3. 3.What is the value of 2⁷? =
  4. 4.What is the value of 4⁸? =
  5. 5.What is the value of 9⁻¹ (as a fraction)? =
  6. 6.Write (7³)⁵ as a single power 7ⁿ. What is n?
  7. 7.What is the value of 2¹¹? =
  8. 8.5.9 × 10⁴ =
  9. 9.What is the value of 7⁴? =
  10. 10.Write (9⁹)⁶ as a single power 9ⁿ. What is n?
  11. 11.Write 1.6 × 10⁻² as a decimal. =
  12. 12.What is the value of (5/6)⁻²? =
  13. 13.What is the value of 3⁵? =
  14. 14.What is the value of 2⁴ × 2⁻⁵? =
  15. 15.What is the value of (7/8)⁻¹? =
  16. 16.What is the value of 5⁵? =
  17. 17.Write 7⁴ × 7² as a single power 7ⁿ. What is n?
  18. 18.Write 4⁸ × 4⁷ as a single power 4ⁿ. What is n?
  19. 19.Write 7.4 × 10⁻¹ as a decimal. =
  20. 20.2.6 × 10² =
  21. 21.Write 2.7 × 10⁻⁴ as a decimal. =
  22. 22.4.4 × 10⁵ =
  23. 23.What is the value of 5⁵ × 5⁻⁶? =
  24. 24.What is the value of 5⁷? =
  25. 25.What is the value of 10⁻³ (as a fraction)? =
  26. 26.Write 18,000 in standard form as 1.8 × 10ⁿ. What is n?
  27. 27.What is the value of 10² × 10⁻³? =
  28. 28.9.8 × 10³ =
  29. 29.Write 1.3 × 10⁻³ as a decimal. =
  30. 30.What is the value of 2¹⁶? =
  31. 31.Write 92,000 in standard form as 9.2 × 10ⁿ. What is n?
  32. 32.What is the value of (5/8)⁻²? =
  33. 33.What is the value of (1/9)⁻¹? =
  34. 34.What is the value of 10⁴ × 10⁻⁵? =
  35. 35.Write 3² × 3⁹ as a single power 3ⁿ. What is n?
  36. 36.Write 2,000 in standard form as 2 × 10ⁿ. What is n?
  37. 37.Write 1.7 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 2⁶? =
  39. 39.What is the value of 2⁶ × 2⁻²? =
  40. 40.Write 2,70,000 in standard form as 2.7 × 10ⁿ. What is n?

Answer key

  1. 7
  2. 10
  3. 128
  4. 65536
  5. 1/9
  6. 15
  7. 2048
  8. 59000
  9. 2401
  10. 54
  11. 0.016
  12. 36/25
  13. 243
  14. 1/2
  15. 8/7
  16. 3125
  17. 6
  18. 15
  19. 0.74
  20. 260
  21. 0.00027
  22. 440000
  23. 1/5
  24. 78125
  25. 1/1000
  26. 4
  27. 1/10
  28. 9800
  29. 0.0013
  30. 65536
  31. 4
  32. 64/25
  33. 9
  34. 1/10
  35. 11
  36. 3
  37. 0.17
  38. 64
  39. 16
  40. 5

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