Answer
There is no difference in simplifying $\sqrt[3] {(-5)^{3}}$ and $\sqrt[4] {(-5)^{4}}$
Simplification of $\sqrt[3] {(-5)^{3}}$= -5
Simplification of $\sqrt[4] {(-5)^{4}}$ = -5
Work Step by Step
There is no difference in simplifying $\sqrt[3] {(-5)^{3}}$ and $\sqrt[4] {(-5)^{4}}$
Simplification of $\sqrt[3] {(-5)^{3}}$= ${(-5)^{3\times\frac{1}{3}}}$ = -5
Simplification of $\sqrt[4] {(-5)^{4}}$= ${(-5)^{4\times\frac{1}{4}}}$ = -5