Intermediate Algebra (6th Edition)

To simplify $\frac{x^{\frac{2}{3}}}{x^{\frac{1}{5}}}$, we can subtract the exponents using the quotient rule. $\frac{x^{\frac{2}{3}}}{x^{\frac{1}{5}}}=x^{(\frac{2}{3}-\frac{1}{5})}=x^{(\frac{10}{15}-\frac{3}{15})}=x^{\frac{7}{15}}$