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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 263 · 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 2³ × 2⁻⁴? =
  2. 2.Write 8,20,000 in standard form as 8.2 × 10ⁿ. What is n?
  3. 3.Write 6.6 × 10⁻¹ as a decimal. =
  4. 4.7.2 × 10⁶ =
  5. 5.What is the value of 2¹²? =
  6. 6.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  7. 7.What is the value of 2³ × 2⁻²? =
  8. 8.Write 4.7 × 10⁻¹ as a decimal. =
  9. 9.Write 8³ × 8⁹ as a single power 8ⁿ. What is n?
  10. 10.What is the value of 10³ × 10⁻²? =
  11. 11.What is the value of 3¹ × 3⁻¹? =
  12. 12.Write 1.4 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 2¹ × 2⁻²? =
  14. 14.Write 5⁵ × 5⁶ as a single power 5ⁿ. What is n?
  15. 15.Write 1.5 × 10⁻⁴ as a decimal. =
  16. 16.8.7 × 10⁷ =
  17. 17.What is the value of 3⁸? =
  18. 18.What is the value of 5⁵ × 5⁻⁴? =
  19. 19.Write 8 × 10⁻⁴ as a decimal. =
  20. 20.Write 4³ × 4⁹ as a single power 4ⁿ. What is n?
  21. 21.What is the value of 4⁻¹ (as a fraction)? =
  22. 22.Write 7.8 × 10⁻⁴ as a decimal. =
  23. 23.Write (3²)⁷ as a single power 3ⁿ. What is n?
  24. 24.Write 7¹³ ÷ 7⁵ as a single power 7ⁿ. What is n?
  25. 25.What is the value of 2⁻³ (as a fraction)? =
  26. 26.What is the value of 5³? =
  27. 27.What is the value of 2² × 2⁻¹? =
  28. 28.What is the value of 2⁴? =
  29. 29.Write (9⁸)⁸ as a single power 9ⁿ. What is n?
  30. 30.6.8 × 10² =
  31. 31.What is the value of 2⁴ × 2⁻¹? =
  32. 32.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  33. 33.What is the value of (1/6)⁻²? =
  34. 34.What is the value of 8⁴? =
  35. 35.Write (7³)⁹ as a single power 7ⁿ. What is n?
  36. 36.What is the value of 10³ × 10⁻¹? =
  37. 37.What is the value of 9⁻¹ (as a fraction)? =
  38. 38.What is the value of 5³ × 5⁻²? =
  39. 39.Write 2.8 × 10⁻³ as a decimal. =
  40. 40.1.5 × 10⁷ =

Answer key

  1. 1/2
  2. 5
  3. 0.66
  4. 7200000
  5. 4096
  6. 5
  7. 2
  8. 0.47
  9. 12
  10. 10
  11. 1
  12. 0.00014
  13. 1/2
  14. 11
  15. 0.00015
  16. 87000000
  17. 6561
  18. 5
  19. 0.0008
  20. 12
  21. 1/4
  22. 0.00078
  23. 14
  24. 8
  25. 1/8
  26. 125
  27. 2
  28. 16
  29. 64
  30. 680
  31. 8
  32. 12
  33. 36
  34. 4096
  35. 27
  36. 100
  37. 1/9
  38. 5
  39. 0.0028
  40. 15000000

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