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Exponent Laws & Irrational Numbers (Grade 8)

Free printable Grade 8 number worksheet: exponent laws, and classifying rational versus irrational numbers.

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Grade 8 · Math worksheet
Name
Date
Math

Number: Exponent Laws & Irrational Numbers

Simplify each exponent expression, or classify the number as rational or irrational.

  1. 1.
    Simplify: 6^3 x 6^4 (write as 6^?)
  2. 2.
    Simplify: 3^2 x 3^4 (write as 3^?)
  3. 3.
    Simplify: 5^3 x 5^4 (write as 5^?)
  4. 4.
    Simplify: 2^5 x 2^5 (write as 2^?)
  5. 5.
    Simplify: 4^8 / 4^3 (write as 4^?)
  6. 6.
    Simplify: 6^8 / 6^1 (write as 6^?)
  7. 7.
    Simplify: 2^8 / 2^2 (write as 2^?)
  8. 8.
    Simplify: 3^7 / 3^2 (write as 3^?)
  9. 9.
    Simplify: (5^3)^3 (write as 5^?)
  10. 10.
    Simplify: (2^2)^3 (write as 2^?)
  11. 11.
    Simplify: (2^2)^3 (write as 2^?)
  12. 12.
    Is sqrt(3) rational or irrational?
  13. 13.
    Is sqrt(7) rational or irrational?
  14. 14.
    Is pi rational or irrational?
  15. 15.
    Is sqrt(2) rational or irrational?
  16. 16.
    Is 1/3 rational or irrational?
  17. 17.
    Is 1/3 rational or irrational?
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