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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 864 · 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 8¹³ ÷ 8⁹ as a single power 8ⁿ. What is n?
  2. 2.What is the value of 2⁵ × 2⁻³? =
  3. 3.What is the value of 5³ × 5⁻⁴? =
  4. 4.Write 7⁶ ÷ 7³ as a single power 7ⁿ. What is n?
  5. 5.Write (2⁹)³ as a single power 2ⁿ. What is n?
  6. 6.8.8 × 10³ =
  7. 7.What is the value of (1/6)⁻²? =
  8. 8.What is the value of 2⁷? =
  9. 9.Write 9.6 × 10⁻³ as a decimal. =
  10. 10.What is the value of 7⁻³ (as a fraction)? =
  11. 11.What is the value of 6³? =
  12. 12.What is the value of (4/7)⁻²? =
  13. 13.Write 82,00,000 in standard form as 8.2 × 10ⁿ. What is n?
  14. 14.Write 6.8 × 10⁻² as a decimal. =
  15. 15.Write 7,70,00,000 in standard form as 7.7 × 10ⁿ. What is n?
  16. 16.What is the value of 5⁻¹ (as a fraction)? =
  17. 17.Write 330 in standard form as 3.3 × 10ⁿ. What is n?
  18. 18.Write 5⁵ × 5⁵ as a single power 5ⁿ. What is n?
  19. 19.Write 4.7 × 10⁻¹ as a decimal. =
  20. 20.What is the value of (1/5)⁻¹? =
  21. 21.Write 78,000 in standard form as 7.8 × 10ⁿ. What is n?
  22. 22.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  23. 23.Write 8⁵ × 8⁶ as a single power 8ⁿ. What is n?
  24. 24.Write 3.8 × 10⁻⁴ as a decimal. =
  25. 25.What is the value of 2³ × 2⁻³? =
  26. 26.What is the value of 5⁵? =
  27. 27.Write 7,90,00,000 in standard form as 7.9 × 10ⁿ. What is n?
  28. 28.6.9 × 10⁴ =
  29. 29.What is the value of 5²? =
  30. 30.Write 2.3 × 10⁻⁴ as a decimal. =
  31. 31.What is the value of 5⁵ × 5⁻⁵? =
  32. 32.What is the value of 10³ × 10⁻³? =
  33. 33.Write 74,00,000 in standard form as 7.4 × 10ⁿ. What is n?
  34. 34.What is the value of 2⁶ × 2⁻¹? =
  35. 35.5.9 × 10⁴ =
  36. 36.What is the value of 10⁴ × 10⁻¹? =
  37. 37.What is the value of 5⁶ × 5⁻⁶? =
  38. 38.Write 3.1 × 10⁻² as a decimal. =
  39. 39.Write 9,90,00,000 in standard form as 9.9 × 10ⁿ. What is n?
  40. 40.What is the value of (7/9)⁻²? =

Answer key

  1. 4
  2. 4
  3. 1/5
  4. 3
  5. 27
  6. 8800
  7. 36
  8. 128
  9. 0.0096
  10. 1/343
  11. 216
  12. 49/16
  13. 6
  14. 0.068
  15. 7
  16. 1/5
  17. 2
  18. 10
  19. 0.47
  20. 5
  21. 4
  22. 11
  23. 11
  24. 0.00038
  25. 1
  26. 3125
  27. 7
  28. 69000
  29. 25
  30. 0.00023
  31. 1
  32. 1
  33. 6
  34. 32
  35. 59000
  36. 1000
  37. 1
  38. 0.031
  39. 7
  40. 81/49

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