We determine which coordinate system is used

Step 2

a) \(\displaystyle{\left({x}^{{{2}}}+{y}^{{{2}}}\right)}^{{\frac{{5}}{{2}}}}\)

cylindrical

b) we know that

\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}=\gamma^{{{2}}}\)

\(\displaystyle{\left({x}^{{{2}}}+{y}^{{{2}}}\right)}^{{\frac{{5}}{{2}}}}={\left(\gamma^{{{2}}}\right)}^{{\frac{{5}}{{2}}}}\)

\(\displaystyle=\gamma^{{{5}}}\)