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Fractional Exponents

Write the fractional exponents in radical form.

  1. $4^{\frac{2}{3}}$
  2. $a^{\frac{4}{5}}$
  3. $x^{\frac{1}{2}}y^{\frac{3}{4}}$

Simplify fractional exponents.

  1. $(4^{\frac{2}{3}})(4^{\frac{1}{3}})$
  2. $(2^{\frac{4}{5}})^{\frac{1}{2}}$
  3. $1^{\frac{1}{2}}3^{\frac{3}{4}}$
  4. $(x^{\frac{2}{5}})^{\frac{2}{3}}$
  5. $(3^2)^{\frac{2}{3}}$
  6. $\dfrac{x^{\frac{1}{4}}}{x^{\frac{1}{2}}}$
  7. $\dfrac{x^{\frac{1}{8}}y^{\frac{2}{3}}}{x^{\frac{1}{4}}y^{\frac{1}{3}}}$
  8. $\dfrac{2^{\frac{5}{6}}}{2^{\frac{2}{3}}}$
  9. $\dfrac{3^{\frac{2}{3}}}{3^{\frac{4}{3}}}$

Answer Key: