How should this fraction involving powers be solved

Question

$$\sqrt { 5 } \cdot { \left( \frac { 5 }{ 4 } \right) }^{ \frac { 1 }{ 2 } }$$

All I know is that this can be written as

$\sqrt { 5 } \cdot { \left( \frac { 5 }{ { 2 }^{ 2 } } \right) }^{ \frac { 1 }{ 2 } }$

Any Ideas?

Answer 1

$$\sqrt { 5 } { \left( \frac { 5 }{ 4 } \right) }^{ \frac { 1 }{ 2 } }={ 5 }^{ \frac { 1 }{ 2 } }\cdot { \left( \frac { 5 }{ { 2 }^{ 2 } } \right) }^{ \frac { 1 }{ 2 } }={ 5 }^{ \frac { 1 }{ 2 } }\cdot \frac { { 5 }^{ \frac { 1 }{ 2 } } }{ { \left( { 2 }^{ 2 } \right) }^{ \frac { 1 }{ 2 } } } =\frac { { 5 }^{ \frac { 1 }{ 2 } +\frac { 1 }{ 2 } } }{ { 2 } } =\frac { 5 }{ 2 } $$

Answer 2

$\sqrt { 5 } { \left( \frac { \sqrt5 }{ \sqrt4 } \right)}=$${\left( \frac { \sqrt {5*5} }{ 2 } \right)}$=${\left( \frac { \sqrt {25} }{ 2 } \right)}$=$\frac 52$