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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 138 · 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 2⁶ × 2⁻²? =
  2. 2.What is the value of 5¹ × 5⁻⁶? =
  3. 3.Write 8.1 × 10⁻¹ as a decimal. =
  4. 4.9.8 × 10⁶ =
  5. 5.Write (4⁷)⁹ as a single power 4ⁿ. What is n?
  6. 6.What is the value of 5⁶? =
  7. 7.What is the value of 2⁻⁷ (as a fraction)? =
  8. 8.Write 4¹² ÷ 4⁹ as a single power 4ⁿ. What is n?
  9. 9.What is the value of 10² × 10⁻¹? =
  10. 10.What is the value of 2⁴ × 2⁻¹? =
  11. 11.What is the value of 3⁶? =
  12. 12.What is the value of (2/7)⁻¹? =
  13. 13.What is the value of (1/7)⁻¹? =
  14. 14.Write (2⁶)⁵ as a single power 2ⁿ. What is n?
  15. 15.Write 6² × 6⁴ as a single power 6ⁿ. What is n?
  16. 16.Write (9⁸)³ as a single power 9ⁿ. What is n?
  17. 17.What is the value of 7²? =
  18. 18.What is the value of 2⁶? =
  19. 19.What is the value of 8⁵? =
  20. 20.Write 2¹² ÷ 2⁸ as a single power 2ⁿ. What is n?
  21. 21.7.2 × 10⁷ =
  22. 22.What is the value of 2¹ × 2⁻¹? =
  23. 23.What is the value of (2/7)⁻²? =
  24. 24.Write 2.3 × 10⁻³ as a decimal. =
  25. 25.Write 8.4 × 10⁻¹ as a decimal. =
  26. 26.What is the value of 10⁻² (as a fraction)? =
  27. 27.What is the value of 10⁵? =
  28. 28.Write 2.6 × 10⁻¹ as a decimal. =
  29. 29.8.9 × 10⁷ =
  30. 30.What is the value of 2⁻⁵ (as a fraction)? =
  31. 31.Write (7⁷)⁹ as a single power 7ⁿ. What is n?
  32. 32.Write (2⁴)³ as a single power 2ⁿ. What is n?
  33. 33.What is the value of 2⁵ × 2⁻¹? =
  34. 34.Write 3.8 × 10⁻⁴ as a decimal. =
  35. 35.Write 9,40,00,000 in standard form as 9.4 × 10ⁿ. What is n?
  36. 36.What is the value of 2⁵? =
  37. 37.What is the value of 9³? =
  38. 38.What is the value of 5⁵ × 5⁻³? =
  39. 39.What is the value of (3/4)⁻²? =
  40. 40.What is the value of 3²? =

Answer key

  1. 16
  2. 1/3125
  3. 0.81
  4. 9800000
  5. 63
  6. 15625
  7. 1/128
  8. 3
  9. 10
  10. 8
  11. 729
  12. 7/2
  13. 7
  14. 30
  15. 6
  16. 24
  17. 49
  18. 64
  19. 32768
  20. 4
  21. 72000000
  22. 1
  23. 49/4
  24. 0.0023
  25. 0.84
  26. 1/100
  27. 100000
  28. 0.26
  29. 89000000
  30. 1/32
  31. 63
  32. 12
  33. 16
  34. 0.00038
  35. 7
  36. 32
  37. 729
  38. 25
  39. 16/9
  40. 9

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