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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 28 · 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 1,600 in standard form as 1.6 × 10ⁿ. What is n?
  2. 2.What is the value of (1/6)⁻¹? =
  3. 3.Write 3¹³ ÷ 3⁹ as a single power 3ⁿ. What is n?
  4. 4.What is the value of 7⁵? =
  5. 5.Write 9,400 in standard form as 9.4 × 10ⁿ. What is n?
  6. 6.What is the value of 2⁻¹ (as a fraction)? =
  7. 7.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  8. 8.What is the value of 5⁷? =
  9. 9.Write (3⁶)⁵ as a single power 3ⁿ. What is n?
  10. 10.What is the value of 9²? =
  11. 11.What is the value of 9⁻¹ (as a fraction)? =
  12. 12.What is the value of 3¹⁰? =
  13. 13.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
  14. 14.Write (8²)³ as a single power 8ⁿ. What is n?
  15. 15.What is the value of 10⁴ × 10⁻⁴? =
  16. 16.What is the value of 2⁻⁷ (as a fraction)? =
  17. 17.4.3 × 10⁵ =
  18. 18.Write 30,000 in standard form as 3 × 10ⁿ. What is n?
  19. 19.8.4 × 10⁴ =
  20. 20.What is the value of 3²? =
  21. 21.What is the value of 2⁻⁴ (as a fraction)? =
  22. 22.What is the value of (7/9)⁻¹? =
  23. 23.Write 2¹³ ÷ 2⁵ as a single power 2ⁿ. What is n?
  24. 24.7.2 × 10⁴ =
  25. 25.Write 8.2 × 10⁻³ as a decimal. =
  26. 26.8.8 × 10³ =
  27. 27.Write 7,300 in standard form as 7.3 × 10ⁿ. What is n?
  28. 28.What is the value of 6⁻¹ (as a fraction)? =
  29. 29.6.6 × 10² =
  30. 30.Write 3,000 in standard form as 3 × 10ⁿ. What is n?
  31. 31.Write 4.9 × 10⁻⁴ as a decimal. =
  32. 32.Write 8³ × 8⁹ as a single power 8ⁿ. What is n?
  33. 33.What is the value of 2¹³? =
  34. 34.Write 9⁵ × 9⁷ as a single power 9ⁿ. What is n?
  35. 35.Write 5⁹ × 5⁶ as a single power 5ⁿ. What is n?
  36. 36.Write 3¹⁸ ÷ 3⁹ as a single power 3ⁿ. What is n?
  37. 37.What is the value of 2¹⁴? =
  38. 38.Write 5⁵ ÷ 5² as a single power 5ⁿ. What is n?
  39. 39.What is the value of 2⁶ × 2⁻⁵? =
  40. 40.Write 2.7 × 10⁻⁴ as a decimal. =

Answer key

  1. 3
  2. 6
  3. 4
  4. 16807
  5. 3
  6. 1/2
  7. 3
  8. 78125
  9. 30
  10. 81
  11. 1/9
  12. 59049
  13. 3
  14. 6
  15. 1
  16. 1/128
  17. 430000
  18. 4
  19. 84000
  20. 9
  21. 1/16
  22. 9/7
  23. 8
  24. 72000
  25. 0.0082
  26. 8800
  27. 3
  28. 1/6
  29. 660
  30. 3
  31. 0.00049
  32. 12
  33. 8192
  34. 12
  35. 15
  36. 9
  37. 16384
  38. 3
  39. 2
  40. 0.00027

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