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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 514 · 40 sums
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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. 1.5.2 × 10⁶ =
  2. 2.Write (3⁴)⁷ as a single power 3ⁿ. What is n?
  3. 3.What is the value of 2¹⁵? =
  4. 4.Write (7⁸)⁴ as a single power 7ⁿ. What is n?
  5. 5.What is the value of 2⁶? =
  6. 6.What is the value of 3⁶ × 3⁻¹? =
  7. 7.What is the value of 6²? =
  8. 8.What is the value of 3⁴ × 3⁻⁴? =
  9. 9.What is the value of 2¹³? =
  10. 10.What is the value of 7⁵? =
  11. 11.What is the value of 5² × 5⁻⁵? =
  12. 12.Write 1.5 × 10⁻² as a decimal. =
  13. 13.What is the value of 6⁻³ (as a fraction)? =
  14. 14.What is the value of (7/8)⁻²? =
  15. 15.Write 7.9 × 10⁻³ as a decimal. =
  16. 16.Write 2⁶ × 2⁷ as a single power 2ⁿ. What is n?
  17. 17.What is the value of 5⁴ × 5⁻⁵? =
  18. 18.6 × 10⁶ =
  19. 19.Write 9⁶ × 9³ as a single power 9ⁿ. What is n?
  20. 20.What is the value of 3⁸? =
  21. 21.Write 7⁸ × 7⁷ as a single power 7ⁿ. What is n?
  22. 22.What is the value of 2⁴? =
  23. 23.What is the value of 5⁶? =
  24. 24.What is the value of 5⁷? =
  25. 25.What is the value of 3⁶ × 3⁻⁶? =
  26. 26.What is the value of 4⁴? =
  27. 27.Write 8⁹ × 8⁹ as a single power 8ⁿ. What is n?
  28. 28.What is the value of (1/8)⁻¹? =
  29. 29.Write 4.8 × 10⁻² as a decimal. =
  30. 30.Write 2,70,00,000 in standard form as 2.7 × 10ⁿ. What is n?
  31. 31.What is the value of 10⁶ × 10⁻⁴? =
  32. 32.Write 1,900 in standard form as 1.9 × 10ⁿ. What is n?
  33. 33.Write (5⁶)⁴ as a single power 5ⁿ. What is n?
  34. 34.Write 7¹⁴ ÷ 7⁶ as a single power 7ⁿ. What is n?
  35. 35.What is the value of (1/7)⁻¹? =
  36. 36.Write 7,900 in standard form as 7.9 × 10ⁿ. What is n?
  37. 37.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  38. 38.Write 6⁷ × 6⁹ as a single power 6ⁿ. What is n?
  39. 39.6.4 × 10⁷ =
  40. 40.What is the value of (2/5)⁻¹? =

Answer key

  1. 5200000
  2. 28
  3. 32768
  4. 32
  5. 64
  6. 243
  7. 36
  8. 1
  9. 8192
  10. 16807
  11. 1/125
  12. 0.015
  13. 1/216
  14. 64/49
  15. 0.0079
  16. 13
  17. 1/5
  18. 6000000
  19. 9
  20. 6561
  21. 15
  22. 16
  23. 15625
  24. 78125
  25. 1
  26. 256
  27. 18
  28. 8
  29. 0.048
  30. 7
  31. 100
  32. 3
  33. 24
  34. 8
  35. 7
  36. 3
  37. 5
  38. 16
  39. 64000000
  40. 5/2

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