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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 535 · 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 8³? =
  2. 2.Write 5.5 × 10⁻³ as a decimal. =
  3. 3.What is the value of (7/8)⁻¹? =
  4. 4.Write 8.2 × 10⁻² as a decimal. =
  5. 5.What is the value of 5⁵ × 5⁻⁴? =
  6. 6.Write 5⁵ ÷ 5³ as a single power 5ⁿ. What is n?
  7. 7.1.8 × 10⁷ =
  8. 8.Write 3.1 × 10⁻³ as a decimal. =
  9. 9.Write 7.7 × 10⁻⁴ as a decimal. =
  10. 10.What is the value of 5² × 5⁻¹? =
  11. 11.What is the value of 2⁸? =
  12. 12.Write 1,200 in standard form as 1.2 × 10ⁿ. What is n?
  13. 13.What is the value of 7⁵? =
  14. 14.What is the value of 2⁵ × 2⁻²? =
  15. 15.Write 7.7 × 10⁻² as a decimal. =
  16. 16.Write 7.6 × 10⁻¹ as a decimal. =
  17. 17.Write 2³ × 2² as a single power 2ⁿ. What is n?
  18. 18.What is the value of 7²? =
  19. 19.6.9 × 10⁷ =
  20. 20.What is the value of 8⁵? =
  21. 21.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  22. 22.What is the value of 10⁵? =
  23. 23.What is the value of 2¹⁴? =
  24. 24.What is the value of 2¹³? =
  25. 25.What is the value of (1/2)⁻¹? =
  26. 26.What is the value of 2⁻⁷ (as a fraction)? =
  27. 27.What is the value of 7⁻² (as a fraction)? =
  28. 28.What is the value of 9⁴? =
  29. 29.What is the value of 2⁴ × 2⁻⁵? =
  30. 30.Write 7¹³ ÷ 7⁷ as a single power 7ⁿ. What is n?
  31. 31.What is the value of 10³? =
  32. 32.Write (2⁷)⁶ as a single power 2ⁿ. What is n?
  33. 33.Write 3.1 × 10⁻¹ as a decimal. =
  34. 34.4 × 10⁶ =
  35. 35.Write 1.8 × 10⁻⁴ as a decimal. =
  36. 36.Write 4,70,00,000 in standard form as 4.7 × 10ⁿ. What is n?
  37. 37.Write 5¹³ ÷ 5⁷ as a single power 5ⁿ. What is n?
  38. 38.Write 4.1 × 10⁻² as a decimal. =
  39. 39.Write 5,900 in standard form as 5.9 × 10ⁿ. What is n?
  40. 40.Write 3.1 × 10⁻² as a decimal. =

Answer key

  1. 512
  2. 0.0055
  3. 8/7
  4. 0.082
  5. 5
  6. 2
  7. 18000000
  8. 0.0031
  9. 0.00077
  10. 5
  11. 256
  12. 3
  13. 16807
  14. 8
  15. 0.077
  16. 0.76
  17. 5
  18. 49
  19. 69000000
  20. 32768
  21. 6
  22. 100000
  23. 16384
  24. 8192
  25. 2
  26. 1/128
  27. 1/49
  28. 6561
  29. 1/2
  30. 6
  31. 1000
  32. 42
  33. 0.31
  34. 4000000
  35. 0.00018
  36. 7
  37. 6
  38. 0.041
  39. 3
  40. 0.031

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