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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 593 · 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. 1.4.8 × 10³ =
  2. 2.What is the value of 4⁻⁴ (as a fraction)? =
  3. 3.Write 9.7 × 10⁻¹ as a decimal. =
  4. 4.What is the value of 3¹ × 3⁻¹? =
  5. 5.Write 2⁸ ÷ 2⁶ as a single power 2ⁿ. What is n?
  6. 6.Write 340 in standard form as 3.4 × 10ⁿ. What is n?
  7. 7.1.4 × 10⁵ =
  8. 8.What is the value of 7⁻³ (as a fraction)? =
  9. 9.Write 2,50,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  10. 10.What is the value of 10⁴? =
  11. 11.What is the value of 10⁵? =
  12. 12.What is the value of 10² × 10⁻⁵? =
  13. 13.Write 1.8 × 10⁻¹ as a decimal. =
  14. 14.Write 4¹³ ÷ 4⁸ as a single power 4ⁿ. What is n?
  15. 15.What is the value of 8⁻¹ (as a fraction)? =
  16. 16.Write 2,700 in standard form as 2.7 × 10ⁿ. What is n?
  17. 17.Write (5⁹)⁹ as a single power 5ⁿ. What is n?
  18. 18.What is the value of 3⁶? =
  19. 19.Write 6.7 × 10⁻¹ as a decimal. =
  20. 20.What is the value of 5⁵? =
  21. 21.What is the value of (7/9)⁻¹? =
  22. 22.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?
  23. 23.What is the value of 2⁶ × 2⁻³? =
  24. 24.Write 5⁸ ÷ 5³ as a single power 5ⁿ. What is n?
  25. 25.Write 8.8 × 10⁻¹ as a decimal. =
  26. 26.1.7 × 10³ =
  27. 27.4.8 × 10⁶ =
  28. 28.Write 4.2 × 10⁻⁴ as a decimal. =
  29. 29.What is the value of 10⁵ × 10⁻²? =
  30. 30.Write 5⁷ × 5² as a single power 5ⁿ. What is n?
  31. 31.5.4 × 10⁶ =
  32. 32.What is the value of 3⁻³ (as a fraction)? =
  33. 33.Write 4¹⁵ ÷ 4⁶ as a single power 4ⁿ. What is n?
  34. 34.What is the value of 10⁴ × 10⁻⁶? =
  35. 35.What is the value of 5⁶? =
  36. 36.What is the value of 2⁶ × 2⁻²? =
  37. 37.1.4 × 10⁶ =
  38. 38.Write 8,40,000 in standard form as 8.4 × 10ⁿ. What is n?
  39. 39.What is the value of 2¹⁴? =
  40. 40.What is the value of 2⁻⁵ (as a fraction)? =

Answer key

  1. 4800
  2. 1/256
  3. 0.97
  4. 1
  5. 2
  6. 2
  7. 140000
  8. 1/343
  9. 7
  10. 10000
  11. 100000
  12. 1/1000
  13. 0.18
  14. 5
  15. 1/8
  16. 3
  17. 81
  18. 729
  19. 0.67
  20. 3125
  21. 9/7
  22. 8
  23. 8
  24. 5
  25. 0.88
  26. 1700
  27. 4800000
  28. 0.00042
  29. 1000
  30. 9
  31. 5400000
  32. 1/27
  33. 9
  34. 1/100
  35. 15625
  36. 16
  37. 1400000
  38. 5
  39. 16384
  40. 1/32

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