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Radicals and Rational Exponents (Algebra 1)

Free printable Algebra 1 algebra worksheet on rewriting between radical and rational-exponent notation, and evaluating rational-exponent expressions exactly.

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Algebra 1 · Math worksheet
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Algebra 1: Radicals and Rational Exponents

Rewrite between radical and rational-exponent notation, or evaluate the expression exactly.

  1. 1.
    Write 91/29^{1/2} using radical notation.
  2. 2.
    Write (419)3(⁴\sqrt{19})^{3} using a rational exponent.
  3. 3.
    Write 132/513^{2/5} using radical notation.
  4. 4.
    Write (52)2(⁵\sqrt{2})^{2} using a rational exponent.
  5. 5.
    Write 53/25^{3/2} using radical notation.
  6. 6.
    Write (412)3(⁴\sqrt{12})^{3} using a rational exponent.
  7. 7.
    Evaluate 253/225^{3/2}.
  8. 8.
    Evaluate 642/364^{2/3}.
  9. 9.
    Evaluate 91/29^{1/2}.
  10. 10.
    Evaluate 161/216^{1/2}.
  11. 11.
    Evaluate 811/481^{1/4}.
  12. 12.
    Evaluate 163/216^{3/2}.
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