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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 644 · 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 2⁻¹ (as a fraction)? =
  2. 2.Write 2,10,000 in standard form as 2.1 × 10ⁿ. What is n?
  3. 3.Write 7.1 × 10⁻⁴ as a decimal. =
  4. 4.Write 2⁹ ÷ 2⁴ as a single power 2ⁿ. What is n?
  5. 5.What is the value of 3⁴? =
  6. 6.What is the value of (3/4)⁻²? =
  7. 7.9.1 × 10⁷ =
  8. 8.Write 8,60,00,000 in standard form as 8.6 × 10ⁿ. What is n?
  9. 9.Write 3⁴ × 3⁶ as a single power 3ⁿ. What is n?
  10. 10.Write (7⁷)⁵ as a single power 7ⁿ. What is n?
  11. 11.What is the value of 2¹⁴? =
  12. 12.What is the value of (7/9)⁻¹? =
  13. 13.Write 2² × 2⁸ as a single power 2ⁿ. What is n?
  14. 14.Write 9.5 × 10⁻¹ as a decimal. =
  15. 15.What is the value of 8⁻³ (as a fraction)? =
  16. 16.Write 9¹³ ÷ 9⁴ as a single power 9ⁿ. What is n?
  17. 17.9.1 × 10² =
  18. 18.Write 3.9 × 10⁻³ as a decimal. =
  19. 19.What is the value of 4³? =
  20. 20.What is the value of 2¹²? =
  21. 21.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
  22. 22.Write 4,00,00,000 in standard form as 4 × 10ⁿ. What is n?
  23. 23.Write (3³)³ as a single power 3ⁿ. What is n?
  24. 24.What is the value of 10⁻³ (as a fraction)? =
  25. 25.Write 8,20,000 in standard form as 8.2 × 10ⁿ. What is n?
  26. 26.What is the value of 2⁹? =
  27. 27.Write 5⁷ × 5⁹ as a single power 5ⁿ. What is n?
  28. 28.Write 4⁵ × 4³ as a single power 4ⁿ. What is n?
  29. 29.What is the value of 10¹ × 10⁻⁶? =
  30. 30.Write (9⁹)² as a single power 9ⁿ. What is n?
  31. 31.Write 910 in standard form as 9.1 × 10ⁿ. What is n?
  32. 32.Write 2.1 × 10⁻² as a decimal. =
  33. 33.Write 9.2 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of 2⁻⁹ (as a fraction)? =
  35. 35.What is the value of 5⁶ × 5⁻³? =
  36. 36.What is the value of 3⁵? =
  37. 37.Write (6⁴)³ as a single power 6ⁿ. What is n?
  38. 38.Write 73,000 in standard form as 7.3 × 10ⁿ. What is n?
  39. 39.2.3 × 10² =
  40. 40.What is the value of 5⁴ × 5⁻⁴? =

Answer key

  1. 1/2
  2. 5
  3. 0.00071
  4. 5
  5. 81
  6. 16/9
  7. 91000000
  8. 7
  9. 10
  10. 35
  11. 16384
  12. 9/7
  13. 10
  14. 0.95
  15. 1/512
  16. 9
  17. 910
  18. 0.0039
  19. 64
  20. 4096
  21. 15
  22. 7
  23. 9
  24. 1/1000
  25. 5
  26. 512
  27. 16
  28. 8
  29. 1/100000
  30. 18
  31. 2
  32. 0.021
  33. 0.00092
  34. 1/512
  35. 125
  36. 243
  37. 12
  38. 4
  39. 230
  40. 1

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