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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 308 · 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. 1.3.3 × 10⁵ =
  2. 2.What is the value of 8⁻² (as a fraction)? =
  3. 3.What is the value of (3/8)⁻²? =
  4. 4.Write (6⁶)⁸ as a single power 6ⁿ. What is n?
  5. 5.Write 4.6 × 10⁻² as a decimal. =
  6. 6.Write (3⁵)⁵ as a single power 3ⁿ. What is n?
  7. 7.9.9 × 10⁶ =
  8. 8.Write 4,90,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  9. 9.What is the value of 7⁻³ (as a fraction)? =
  10. 10.Write 9³ × 9⁴ as a single power 9ⁿ. What is n?
  11. 11.8.7 × 10⁵ =
  12. 12.What is the value of 2⁻³ (as a fraction)? =
  13. 13.What is the value of 5³ × 5⁻²? =
  14. 14.Write 3⁴ × 3⁹ as a single power 3ⁿ. What is n?
  15. 15.5.4 × 10³ =
  16. 16.What is the value of (1/2)⁻²? =
  17. 17.4.3 × 10⁶ =
  18. 18.What is the value of 6⁴? =
  19. 19.What is the value of 10³? =
  20. 20.Write 7,30,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  21. 21.What is the value of 3² × 3⁻¹? =
  22. 22.Write 5³ × 5⁸ as a single power 5ⁿ. What is n?
  23. 23.8.8 × 10⁴ =
  24. 24.What is the value of 10⁴? =
  25. 25.What is the value of 10¹ × 10⁻⁵? =
  26. 26.Write (7⁸)⁴ as a single power 7ⁿ. What is n?
  27. 27.7.6 × 10⁶ =
  28. 28.What is the value of 10³ × 10⁻¹? =
  29. 29.Write 2.8 × 10⁻⁴ as a decimal. =
  30. 30.What is the value of 4⁵? =
  31. 31.Write 2.6 × 10⁻⁴ as a decimal. =
  32. 32.Write 1.1 × 10⁻³ as a decimal. =
  33. 33.What is the value of 2¹⁰? =
  34. 34.Write 20,000 in standard form as 2 × 10ⁿ. What is n?
  35. 35.What is the value of (5/9)⁻¹? =
  36. 36.1.7 × 10⁴ =
  37. 37.What is the value of 3¹ × 3⁻¹? =
  38. 38.What is the value of 7⁵? =
  39. 39.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
  40. 40.Write 3.9 × 10⁻³ as a decimal. =

Answer key

  1. 330000
  2. 1/64
  3. 64/9
  4. 48
  5. 0.046
  6. 25
  7. 9900000
  8. 7
  9. 1/343
  10. 7
  11. 870000
  12. 1/8
  13. 5
  14. 13
  15. 5400
  16. 4
  17. 4300000
  18. 1296
  19. 1000
  20. 7
  21. 3
  22. 11
  23. 88000
  24. 10000
  25. 1/10000
  26. 32
  27. 7600000
  28. 100
  29. 0.00028
  30. 1024
  31. 0.00026
  32. 0.0011
  33. 1024
  34. 4
  35. 9/5
  36. 17000
  37. 1
  38. 16807
  39. 6
  40. 0.0039

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