## Intermediate Algebra (6th Edition)

To simply $x^{\frac{2}{3}}\times x^{\frac{1}{5}}$, we can add the exponents using the product rule. $x^{\frac{2}{3}}\times x^{\frac{1}{5}}=x^{(\frac{2}{3}+\frac{1}{5})}=x^{(\frac{10}{15}+\frac{3}{15})}=x^{\frac{13}{15}}$