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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 919 · 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 2¹⁴? =
  2. 2.Write 8¹⁰ ÷ 8⁶ as a single power 8ⁿ. What is n?
  3. 3.What is the value of 2⁴? =
  4. 4.Write 3,400 in standard form as 3.4 × 10ⁿ. What is n?
  5. 5.7.8 × 10⁶ =
  6. 6.What is the value of 2⁶ × 2⁻⁵? =
  7. 7.What is the value of (6/7)⁻¹? =
  8. 8.What is the value of 2⁴ × 2⁻⁴? =
  9. 9.Write 8,30,00,000 in standard form as 8.3 × 10ⁿ. What is n?
  10. 10.Write 7¹⁵ ÷ 7⁶ as a single power 7ⁿ. What is n?
  11. 11.What is the value of (2/3)⁻²? =
  12. 12.6.4 × 10⁵ =
  13. 13.Write 8.1 × 10⁻² as a decimal. =
  14. 14.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  15. 15.Write 28,00,000 in standard form as 2.8 × 10ⁿ. What is n?
  16. 16.Write 8² × 8² as a single power 8ⁿ. What is n?
  17. 17.Write 14,000 in standard form as 1.4 × 10ⁿ. What is n?
  18. 18.What is the value of 5⁵ × 5⁻²? =
  19. 19.What is the value of 10⁵? =
  20. 20.7.1 × 10³ =
  21. 21.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  22. 22.What is the value of 3⁵? =
  23. 23.Write 7.3 × 10⁻¹ as a decimal. =
  24. 24.What is the value of 4⁷? =
  25. 25.What is the value of 2¹⁶? =
  26. 26.Write 99,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  27. 27.What is the value of 4⁻⁴ (as a fraction)? =
  28. 28.1.7 × 10⁴ =
  29. 29.What is the value of 2³? =
  30. 30.Write 8,40,00,000 in standard form as 8.4 × 10ⁿ. What is n?
  31. 31.What is the value of 5² × 5⁻¹? =
  32. 32.What is the value of 3¹⁰? =
  33. 33.What is the value of 6⁻³ (as a fraction)? =
  34. 34.Write 4⁸ ÷ 4⁶ as a single power 4ⁿ. What is n?
  35. 35.Write (2⁷)⁸ as a single power 2ⁿ. What is n?
  36. 36.What is the value of 8²? =
  37. 37.5.8 × 10⁷ =
  38. 38.What is the value of 10² × 10⁻⁴? =
  39. 39.Write 7,40,00,000 in standard form as 7.4 × 10ⁿ. What is n?
  40. 40.What is the value of 7⁻² (as a fraction)? =

Answer key

  1. 16384
  2. 4
  3. 16
  4. 3
  5. 7800000
  6. 2
  7. 7/6
  8. 1
  9. 7
  10. 9
  11. 9/4
  12. 640000
  13. 0.081
  14. 7
  15. 6
  16. 4
  17. 4
  18. 125
  19. 100000
  20. 7100
  21. 4
  22. 243
  23. 0.73
  24. 16384
  25. 65536
  26. 6
  27. 1/256
  28. 17000
  29. 8
  30. 7
  31. 5
  32. 59049
  33. 1/216
  34. 2
  35. 56
  36. 64
  37. 58000000
  38. 1/100
  39. 7
  40. 1/49

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