Answer
$\sqrt[5] (x+1)^{3}$
Work Step by Step
Step 1: $(x+1)^{\frac{3}{5}}$ is simplified to $(x+1)^{3\times\frac{1}{5}}$
Step 2: Since $\frac{1}{5}$ represents the fifth root of the expression, the expression is simplified as $\sqrt[5] (x+1)^{3}$
Step 3: No further simplification possible