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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 464 · 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 2¹⁶? =
  2. 2.What is the value of 2⁶? =
  3. 3.What is the value of 9⁻² (as a fraction)? =
  4. 4.Write 9⁴ × 9⁷ as a single power 9ⁿ. What is n?
  5. 5.Write 5⁷ × 5⁴ as a single power 5ⁿ. What is n?
  6. 6.Write 1.5 × 10⁻³ as a decimal. =
  7. 7.What is the value of (1/8)⁻¹? =
  8. 8.Write 27,000 in standard form as 2.7 × 10ⁿ. What is n?
  9. 9.Write 2.8 × 10⁻³ as a decimal. =
  10. 10.What is the value of 2¹⁵? =
  11. 11.Write 2.4 × 10⁻³ as a decimal. =
  12. 12.What is the value of 8⁴? =
  13. 13.Write 5.3 × 10⁻⁴ as a decimal. =
  14. 14.What is the value of (4/9)⁻²? =
  15. 15.Write 3,300 in standard form as 3.3 × 10ⁿ. What is n?
  16. 16.What is the value of (7/9)⁻²? =
  17. 17.What is the value of 2³? =
  18. 18.What is the value of 5⁻² (as a fraction)? =
  19. 19.What is the value of 10⁴ × 10⁻⁴? =
  20. 20.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
  21. 21.Write 3.4 × 10⁻¹ as a decimal. =
  22. 22.What is the value of 2⁵ × 2⁻⁴? =
  23. 23.What is the value of 6⁴? =
  24. 24.What is the value of 2¹³? =
  25. 25.9.9 × 10² =
  26. 26.Write (3⁴)² as a single power 3ⁿ. What is n?
  27. 27.Write 7³ × 7⁶ as a single power 7ⁿ. What is n?
  28. 28.What is the value of 2⁻⁵ (as a fraction)? =
  29. 29.What is the value of 5⁴ × 5⁻⁶? =
  30. 30.Write 7.1 × 10⁻¹ as a decimal. =
  31. 31.What is the value of 6²? =
  32. 32.What is the value of 2⁵? =
  33. 33.Write 8² × 8² as a single power 8ⁿ. What is n?
  34. 34.Write (8⁶)⁸ as a single power 8ⁿ. What is n?
  35. 35.What is the value of 9⁴? =
  36. 36.Write 2⁴ × 2⁶ as a single power 2ⁿ. What is n?
  37. 37.Write 5¹⁴ ÷ 5⁵ as a single power 5ⁿ. What is n?
  38. 38.What is the value of 2⁻⁷ (as a fraction)? =
  39. 39.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  40. 40.Write (9³)² as a single power 9ⁿ. What is n?

Answer key

  1. 65536
  2. 64
  3. 1/81
  4. 11
  5. 11
  6. 0.0015
  7. 8
  8. 4
  9. 0.0028
  10. 32768
  11. 0.0024
  12. 4096
  13. 0.00053
  14. 81/16
  15. 3
  16. 81/49
  17. 8
  18. 1/25
  19. 1
  20. 16
  21. 0.34
  22. 2
  23. 1296
  24. 8192
  25. 990
  26. 8
  27. 9
  28. 1/32
  29. 1/25
  30. 0.71
  31. 36
  32. 32
  33. 4
  34. 48
  35. 6561
  36. 10
  37. 9
  38. 1/128
  39. 15
  40. 6

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