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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 913 · 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 6¹³ ÷ 6⁵ as a single power 6ⁿ. What is n?
  2. 2.Write 8.8 × 10⁻² as a decimal. =
  3. 3.What is the value of 6³? =
  4. 4.What is the value of 4⁻³ (as a fraction)? =
  5. 5.Write 4.4 × 10⁻⁴ as a decimal. =
  6. 6.What is the value of 10⁶ × 10⁻⁶? =
  7. 7.What is the value of 2⁻¹ (as a fraction)? =
  8. 8.8.4 × 10⁶ =
  9. 9.What is the value of (1/3)⁻²? =
  10. 10.What is the value of 2³ × 2⁻⁵? =
  11. 11.Write 5,20,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  12. 12.Write 5.1 × 10⁻¹ as a decimal. =
  13. 13.What is the value of 2² × 2⁻³? =
  14. 14.What is the value of 2¹⁴? =
  15. 15.What is the value of 3⁶ × 3⁻¹? =
  16. 16.Write 1.1 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 2¹⁰? =
  18. 18.Write 2,900 in standard form as 2.9 × 10ⁿ. What is n?
  19. 19.What is the value of 5² × 5⁻⁶? =
  20. 20.What is the value of 3⁵ × 3⁻³? =
  21. 21.Write 2.3 × 10⁻³ as a decimal. =
  22. 22.Write 8⁴ ÷ 8² as a single power 8ⁿ. What is n?
  23. 23.What is the value of (1/7)⁻¹? =
  24. 24.Write (3⁴)⁵ as a single power 3ⁿ. What is n?
  25. 25.Write 4⁷ × 4⁴ as a single power 4ⁿ. What is n?
  26. 26.Write 280 in standard form as 2.8 × 10ⁿ. What is n?
  27. 27.8.7 × 10⁷ =
  28. 28.What is the value of 7⁻¹ (as a fraction)? =
  29. 29.4.8 × 10⁶ =
  30. 30.What is the value of 3⁶ × 3⁻²? =
  31. 31.What is the value of 6⁻³ (as a fraction)? =
  32. 32.Write 6⁵ × 6⁹ as a single power 6ⁿ. What is n?
  33. 33.What is the value of 2⁻⁵ (as a fraction)? =
  34. 34.Write 2¹⁰ ÷ 2⁸ as a single power 2ⁿ. What is n?
  35. 35.Write 690 in standard form as 6.9 × 10ⁿ. What is n?
  36. 36.Write 2 × 10⁻⁴ as a decimal. =
  37. 37.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  38. 38.What is the value of 5⁴ × 5⁻⁶? =
  39. 39.What is the value of 10⁶ × 10⁻³? =
  40. 40.Write 7,40,000 in standard form as 7.4 × 10ⁿ. What is n?

Answer key

  1. 8
  2. 0.088
  3. 216
  4. 1/64
  5. 0.00044
  6. 1
  7. 1/2
  8. 8400000
  9. 9
  10. 1/4
  11. 7
  12. 0.51
  13. 1/2
  14. 16384
  15. 243
  16. 0.11
  17. 1024
  18. 3
  19. 1/625
  20. 9
  21. 0.0023
  22. 2
  23. 7
  24. 20
  25. 11
  26. 2
  27. 87000000
  28. 1/7
  29. 4800000
  30. 81
  31. 1/216
  32. 14
  33. 1/32
  34. 2
  35. 2
  36. 0.0002
  37. 7
  38. 1/25
  39. 1000
  40. 5

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