To multiply powers of the same base, add their exponents. Add $\frac{1}{5}$ and $\frac{2}{3}$ to get $\frac{13}{15}$.
$$\frac{a^{\frac{13}{15}}}{a^{\frac{3}{5}}}$$
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $\frac{3}{5}$ from $\frac{13}{15}$ to get $\frac{4}{15}$.
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract $\frac{3}{5}$ from $\frac{13}{15}$ to get $\frac{4}{15}$.
