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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 70 · 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 3³? =
  2. 2.What is the value of 3² × 3⁻⁴? =
  3. 3.What is the value of (4/7)⁻¹? =
  4. 4.8.9 × 10⁴ =
  5. 5.Write 520 in standard form as 5.2 × 10ⁿ. What is n?
  6. 6.What is the value of 3⁶ × 3⁻³? =
  7. 7.Write (6²)³ as a single power 6ⁿ. What is n?
  8. 8.What is the value of (1/6)⁻²? =
  9. 9.Write 4⁵ × 4⁴ as a single power 4ⁿ. What is n?
  10. 10.What is the value of 2²? =
  11. 11.What is the value of 2⁶? =
  12. 12.What is the value of 3⁷? =
  13. 13.2.9 × 10⁷ =
  14. 14.Write 6⁷ × 6⁸ as a single power 6ⁿ. What is n?
  15. 15.Write 3³ × 3⁹ as a single power 3ⁿ. What is n?
  16. 16.2.7 × 10⁵ =
  17. 17.What is the value of 4⁶? =
  18. 18.What is the value of 2⁶ × 2⁻¹? =
  19. 19.What is the value of 2⁻⁴ (as a fraction)? =
  20. 20.What is the value of 5⁵? =
  21. 21.Write 15,00,000 in standard form as 1.5 × 10ⁿ. What is n?
  22. 22.What is the value of 2¹ × 2⁻⁴? =
  23. 23.What is the value of 5⁵ × 5⁻²? =
  24. 24.What is the value of 2⁴ × 2⁻²? =
  25. 25.What is the value of 10³ × 10⁻⁵? =
  26. 26.What is the value of (5/7)⁻²? =
  27. 27.What is the value of 3⁻³ (as a fraction)? =
  28. 28.Write 5.6 × 10⁻¹ as a decimal. =
  29. 29.4.9 × 10⁶ =
  30. 30.What is the value of (1/7)⁻¹? =
  31. 31.What is the value of 5⁴ × 5⁻⁴? =
  32. 32.What is the value of 2⁸? =
  33. 33.Write 7¹³ ÷ 7⁸ as a single power 7ⁿ. What is n?
  34. 34.Write 29,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  35. 35.Write 8⁶ × 8⁷ as a single power 8ⁿ. What is n?
  36. 36.Write (8³)⁸ as a single power 8ⁿ. What is n?
  37. 37.What is the value of 2⁵ × 2⁻²? =
  38. 38.Write 8.9 × 10⁻² as a decimal. =
  39. 39.What is the value of 2¹¹? =
  40. 40.Write 12,00,000 in standard form as 1.2 × 10ⁿ. What is n?

Answer key

  1. 27
  2. 1/9
  3. 7/4
  4. 89000
  5. 2
  6. 27
  7. 6
  8. 36
  9. 9
  10. 4
  11. 64
  12. 2187
  13. 29000000
  14. 15
  15. 12
  16. 270000
  17. 4096
  18. 32
  19. 1/16
  20. 3125
  21. 6
  22. 1/8
  23. 125
  24. 4
  25. 1/100
  26. 49/25
  27. 1/27
  28. 0.56
  29. 4900000
  30. 7
  31. 1
  32. 256
  33. 5
  34. 6
  35. 13
  36. 24
  37. 8
  38. 0.089
  39. 2048
  40. 6

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