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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 457 · 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 5⁶ × 5³ as a single power 5ⁿ. What is n?
  2. 2.What is the value of (1/8)⁻¹? =
  3. 3.What is the value of 2¹²? =
  4. 4.Write 5⁹ ÷ 5² as a single power 5ⁿ. What is n?
  5. 5.What is the value of 7⁵? =
  6. 6.What is the value of (3/4)⁻²? =
  7. 7.Write 2.7 × 10⁻⁴ as a decimal. =
  8. 8.Write 57,00,000 in standard form as 5.7 × 10ⁿ. What is n?
  9. 9.What is the value of 2² × 2⁻⁴? =
  10. 10.What is the value of 5⁴ × 5⁻⁴? =
  11. 11.What is the value of 9²? =
  12. 12.What is the value of 7⁻² (as a fraction)? =
  13. 13.What is the value of 2³ × 2⁻²? =
  14. 14.Write 1.4 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 2² × 2⁻⁵? =
  16. 16.Write 8.2 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 2⁸? =
  18. 18.Write 4.4 × 10⁻² as a decimal. =
  19. 19.What is the value of 10⁴? =
  20. 20.What is the value of (2/7)⁻¹? =
  21. 21.What is the value of 8²? =
  22. 22.What is the value of 6³? =
  23. 23.Write (9²)⁸ as a single power 9ⁿ. What is n?
  24. 24.What is the value of 3⁴? =
  25. 25.Write 9¹³ ÷ 9⁶ as a single power 9ⁿ. What is n?
  26. 26.What is the value of 7³? =
  27. 27.What is the value of (2/3)⁻¹? =
  28. 28.Write 2 × 10⁻² as a decimal. =
  29. 29.What is the value of 8⁻² (as a fraction)? =
  30. 30.What is the value of 5³? =
  31. 31.What is the value of 3⁸? =
  32. 32.What is the value of 10³ × 10⁻⁴? =
  33. 33.What is the value of 4⁻² (as a fraction)? =
  34. 34.4.6 × 10⁷ =
  35. 35.What is the value of 3¹⁰? =
  36. 36.What is the value of 5¹ × 5⁻²? =
  37. 37.What is the value of 2⁶? =
  38. 38.Write 3,600 in standard form as 3.6 × 10ⁿ. What is n?
  39. 39.What is the value of (5/9)⁻¹? =
  40. 40.What is the value of 2⁻⁷ (as a fraction)? =

Answer key

  1. 9
  2. 8
  3. 4096
  4. 7
  5. 16807
  6. 16/9
  7. 0.00027
  8. 6
  9. 1/4
  10. 1
  11. 81
  12. 1/49
  13. 2
  14. 0.14
  15. 1/8
  16. 0.82
  17. 256
  18. 0.044
  19. 10000
  20. 7/2
  21. 64
  22. 216
  23. 16
  24. 81
  25. 7
  26. 343
  27. 3/2
  28. 0.02
  29. 1/64
  30. 125
  31. 6561
  32. 1/10
  33. 1/16
  34. 46000000
  35. 59049
  36. 1/5
  37. 64
  38. 3
  39. 9/5
  40. 1/128

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