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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 558 · 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 4.4 × 10⁻¹ as a decimal. =
  2. 2.What is the value of 2⁵? =
  3. 3.Write 9⁸ ÷ 9⁶ as a single power 9ⁿ. What is n?
  4. 4.Write 8⁴ × 8⁵ as a single power 8ⁿ. What is n?
  5. 5.Write 3¹⁷ ÷ 3⁹ as a single power 3ⁿ. What is n?
  6. 6.What is the value of 8³? =
  7. 7.Write (7⁴)⁷ as a single power 7ⁿ. What is n?
  8. 8.What is the value of 6⁴? =
  9. 9.What is the value of 2³ × 2⁻³? =
  10. 10.Write 7 × 10⁻¹ as a decimal. =
  11. 11.Write 860 in standard form as 8.6 × 10ⁿ. What is n?
  12. 12.Write 37,000 in standard form as 3.7 × 10ⁿ. What is n?
  13. 13.What is the value of 2⁶ × 2⁻²? =
  14. 14.What is the value of (1/4)⁻¹? =
  15. 15.What is the value of 2⁵ × 2⁻³? =
  16. 16.What is the value of 7⁻² (as a fraction)? =
  17. 17.What is the value of 2⁴? =
  18. 18.Write 7⁵ × 7³ as a single power 7ⁿ. What is n?
  19. 19.What is the value of 7⁵? =
  20. 20.Write 2¹⁶ ÷ 2⁹ as a single power 2ⁿ. What is n?
  21. 21.What is the value of 4⁶? =
  22. 22.What is the value of 4²? =
  23. 23.What is the value of 3¹ × 3⁻²? =
  24. 24.Write 3⁵ ÷ 3³ as a single power 3ⁿ. What is n?
  25. 25.What is the value of 10⁻² (as a fraction)? =
  26. 26.Write 7⁹ × 7⁹ as a single power 7ⁿ. What is n?
  27. 27.Write 7¹³ ÷ 7⁷ as a single power 7ⁿ. What is n?
  28. 28.7.2 × 10⁷ =
  29. 29.What is the value of (2/9)⁻¹? =
  30. 30.9.9 × 10³ =
  31. 31.What is the value of 5⁶? =
  32. 32.What is the value of (1/8)⁻²? =
  33. 33.Write 9⁶ ÷ 9² as a single power 9ⁿ. What is n?
  34. 34.Write 2⁵ × 2⁶ as a single power 2ⁿ. What is n?
  35. 35.Write 3.8 × 10⁻¹ as a decimal. =
  36. 36.Write 7,00,000 in standard form as 7 × 10ⁿ. What is n?
  37. 37.What is the value of 10⁵? =
  38. 38.6 × 10⁴ =
  39. 39.7 × 10⁴ =
  40. 40.What is the value of 9²? =

Answer key

  1. 0.44
  2. 32
  3. 2
  4. 9
  5. 8
  6. 512
  7. 28
  8. 1296
  9. 1
  10. 0.7
  11. 2
  12. 4
  13. 16
  14. 4
  15. 4
  16. 1/49
  17. 16
  18. 8
  19. 16807
  20. 7
  21. 4096
  22. 16
  23. 1/3
  24. 2
  25. 1/100
  26. 18
  27. 6
  28. 72000000
  29. 9/2
  30. 9900
  31. 15625
  32. 64
  33. 4
  34. 11
  35. 0.38
  36. 5
  37. 100000
  38. 60000
  39. 70000
  40. 81

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