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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 777 · 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 10⁴ × 10⁻²? =
  2. 2.Write 89,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  3. 3.What is the value of (1/8)⁻²? =
  4. 4.Write 5 × 10⁻¹ as a decimal. =
  5. 5.What is the value of (2/9)⁻¹? =
  6. 6.Write (9³)⁹ as a single power 9ⁿ. What is n?
  7. 7.Write 9.5 × 10⁻² as a decimal. =
  8. 8.Write 3,90,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  9. 9.What is the value of (1/2)⁻²? =
  10. 10.Write 2⁷ ÷ 2³ as a single power 2ⁿ. What is n?
  11. 11.What is the value of (7/8)⁻²? =
  12. 12.What is the value of 9²? =
  13. 13.Write 1.9 × 10⁻² as a decimal. =
  14. 14.What is the value of 3⁵ × 3⁻¹? =
  15. 15.Write 5.9 × 10⁻³ as a decimal. =
  16. 16.What is the value of 4²? =
  17. 17.What is the value of 2⁻⁶ (as a fraction)? =
  18. 18.Write 2¹⁵ ÷ 2⁹ as a single power 2ⁿ. What is n?
  19. 19.Write 99,000 in standard form as 9.9 × 10ⁿ. What is n?
  20. 20.What is the value of (3/8)⁻¹? =
  21. 21.1.2 × 10⁶ =
  22. 22.What is the value of 9⁻³ (as a fraction)? =
  23. 23.Write 3,80,000 in standard form as 3.8 × 10ⁿ. What is n?
  24. 24.4.4 × 10⁷ =
  25. 25.3.9 × 10³ =
  26. 26.Write 8⁹ × 8⁷ as a single power 8ⁿ. What is n?
  27. 27.What is the value of 2⁸? =
  28. 28.What is the value of 9⁻¹ (as a fraction)? =
  29. 29.3.7 × 10⁴ =
  30. 30.Write 6,20,000 in standard form as 6.2 × 10ⁿ. What is n?
  31. 31.What is the value of 8⁴? =
  32. 32.What is the value of 5³? =
  33. 33.What is the value of (1/5)⁻²? =
  34. 34.Write 7⁴ × 7⁶ as a single power 7ⁿ. What is n?
  35. 35.What is the value of 3² × 3⁻⁵? =
  36. 36.What is the value of 6⁻² (as a fraction)? =
  37. 37.Write 380 in standard form as 3.8 × 10ⁿ. What is n?
  38. 38.What is the value of 3⁶ × 3⁻¹? =
  39. 39.Write 7¹³ ÷ 7⁷ as a single power 7ⁿ. What is n?
  40. 40.Write 3.3 × 10⁻⁴ as a decimal. =

Answer key

  1. 100
  2. 6
  3. 64
  4. 0.5
  5. 9/2
  6. 27
  7. 0.095
  8. 7
  9. 4
  10. 4
  11. 64/49
  12. 81
  13. 0.019
  14. 81
  15. 0.0059
  16. 16
  17. 1/64
  18. 6
  19. 4
  20. 8/3
  21. 1200000
  22. 1/729
  23. 5
  24. 44000000
  25. 3900
  26. 16
  27. 256
  28. 1/9
  29. 37000
  30. 5
  31. 4096
  32. 125
  33. 25
  34. 10
  35. 1/27
  36. 1/36
  37. 2
  38. 243
  39. 6
  40. 0.00033

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