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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 420 · 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. 1.2.4 × 10⁷ =
  2. 2.Write 6,400 in standard form as 6.4 × 10ⁿ. What is n?
  3. 3.What is the value of 2² × 2⁻²? =
  4. 4.What is the value of (1/9)⁻²? =
  5. 5.What is the value of 4⁵? =
  6. 6.What is the value of 4⁻¹ (as a fraction)? =
  7. 7.What is the value of 10¹ × 10⁻²? =
  8. 8.Write 9.3 × 10⁻⁴ as a decimal. =
  9. 9.Write 410 in standard form as 4.1 × 10ⁿ. What is n?
  10. 10.Write 2.9 × 10⁻¹ as a decimal. =
  11. 11.1.1 × 10² =
  12. 12.What is the value of 2⁹? =
  13. 13.Write (9²)⁸ as a single power 9ⁿ. What is n?
  14. 14.Write 5¹⁶ ÷ 5⁷ as a single power 5ⁿ. What is n?
  15. 15.Write 3.3 × 10⁻² as a decimal. =
  16. 16.What is the value of 10⁻² (as a fraction)? =
  17. 17.Write (3⁸)² as a single power 3ⁿ. What is n?
  18. 18.What is the value of 3¹ × 3⁻⁴? =
  19. 19.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  20. 20.Write 4.8 × 10⁻⁴ as a decimal. =
  21. 21.Write 5 × 10⁻⁴ as a decimal. =
  22. 22.Write 5⁹ ÷ 5⁷ as a single power 5ⁿ. What is n?
  23. 23.What is the value of 2¹⁵? =
  24. 24.What is the value of 3⁻³ (as a fraction)? =
  25. 25.What is the value of 2¹²? =
  26. 26.Write 6,90,00,000 in standard form as 6.9 × 10ⁿ. What is n?
  27. 27.Write 700 in standard form as 7 × 10ⁿ. What is n?
  28. 28.Write 7.2 × 10⁻² as a decimal. =
  29. 29.Write 2.3 × 10⁻¹ as a decimal. =
  30. 30.What is the value of (2/5)⁻²? =
  31. 31.Write 4⁷ × 4² as a single power 4ⁿ. What is n?
  32. 32.Write 2,200 in standard form as 2.2 × 10ⁿ. What is n?
  33. 33.Write 89,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  34. 34.Write 5¹⁸ ÷ 5⁹ as a single power 5ⁿ. What is n?
  35. 35.Write 3,100 in standard form as 3.1 × 10ⁿ. What is n?
  36. 36.What is the value of 2²? =
  37. 37.What is the value of (1/3)⁻¹? =
  38. 38.Write 68,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  39. 39.Write 7⁸ × 7⁹ as a single power 7ⁿ. What is n?
  40. 40.What is the value of 10⁵ × 10⁻⁶? =

Answer key

  1. 24000000
  2. 3
  3. 1
  4. 81
  5. 1024
  6. 1/4
  7. 1/10
  8. 0.00093
  9. 2
  10. 0.29
  11. 110
  12. 512
  13. 16
  14. 9
  15. 0.033
  16. 1/100
  17. 16
  18. 1/27
  19. 7
  20. 0.00048
  21. 0.0005
  22. 2
  23. 32768
  24. 1/27
  25. 4096
  26. 7
  27. 2
  28. 0.072
  29. 0.23
  30. 25/4
  31. 9
  32. 3
  33. 6
  34. 9
  35. 3
  36. 4
  37. 3
  38. 6
  39. 17
  40. 1/10

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