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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 900 · 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 5⁹ ÷ 5⁶ as a single power 5ⁿ. What is n?
  2. 2.Write 3.2 × 10⁻³ as a decimal. =
  3. 3.What is the value of 2¹ × 2⁻⁶? =
  4. 4.Write 6.3 × 10⁻⁴ as a decimal. =
  5. 5.What is the value of (6/7)⁻²? =
  6. 6.What is the value of 8⁻³ (as a fraction)? =
  7. 7.Write 230 in standard form as 2.3 × 10ⁿ. What is n?
  8. 8.What is the value of 3⁻¹ (as a fraction)? =
  9. 9.Write 5,60,00,000 in standard form as 5.6 × 10ⁿ. What is n?
  10. 10.What is the value of (5/9)⁻²? =
  11. 11.Write 6.1 × 10⁻³ as a decimal. =
  12. 12.1.8 × 10² =
  13. 13.What is the value of 6⁶? =
  14. 14.Write 490 in standard form as 4.9 × 10ⁿ. What is n?
  15. 15.What is the value of 10⁵ × 10⁻⁴? =
  16. 16.8.8 × 10⁵ =
  17. 17.Write 2.7 × 10⁻² as a decimal. =
  18. 18.What is the value of 3⁷? =
  19. 19.Write 22,00,000 in standard form as 2.2 × 10ⁿ. What is n?
  20. 20.What is the value of 2⁴ × 2⁻¹? =
  21. 21.1.4 × 10⁵ =
  22. 22.What is the value of 2¹⁰? =
  23. 23.Write 3⁹ ÷ 3² as a single power 3ⁿ. What is n?
  24. 24.Write 5.1 × 10⁻¹ as a decimal. =
  25. 25.Write 3,900 in standard form as 3.9 × 10ⁿ. What is n?
  26. 26.Write 7.3 × 10⁻³ as a decimal. =
  27. 27.What is the value of 2⁵ × 2⁻²? =
  28. 28.What is the value of 6⁴? =
  29. 29.Write 7¹⁶ ÷ 7⁹ as a single power 7ⁿ. What is n?
  30. 30.What is the value of 2⁶? =
  31. 31.What is the value of 2⁷? =
  32. 32.Write 2.2 × 10⁻⁴ as a decimal. =
  33. 33.Write 7.9 × 10⁻⁴ as a decimal. =
  34. 34.Write 9.5 × 10⁻⁴ as a decimal. =
  35. 35.7.1 × 10³ =
  36. 36.Write 7,50,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  37. 37.Write 440 in standard form as 4.4 × 10ⁿ. What is n?
  38. 38.Write 7,10,000 in standard form as 7.1 × 10ⁿ. What is n?
  39. 39.What is the value of (2/5)⁻¹? =
  40. 40.Write 51,000 in standard form as 5.1 × 10ⁿ. What is n?

Answer key

  1. 3
  2. 0.0032
  3. 1/32
  4. 0.00063
  5. 49/36
  6. 1/512
  7. 2
  8. 1/3
  9. 7
  10. 81/25
  11. 0.0061
  12. 180
  13. 46656
  14. 2
  15. 10
  16. 880000
  17. 0.027
  18. 2187
  19. 6
  20. 8
  21. 140000
  22. 1024
  23. 7
  24. 0.51
  25. 3
  26. 0.0073
  27. 8
  28. 1296
  29. 7
  30. 64
  31. 128
  32. 0.00022
  33. 0.00079
  34. 0.00095
  35. 7100
  36. 7
  37. 2
  38. 5
  39. 5/2
  40. 4

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