<s>[INST] How should this fraction involving powers be solved 
$$\sqrt { 5 } \cdot { \left( \frac { 5 }{ 4 }  \right)  }^{ \frac { 1 }{ 2 }  }$$

All I know is that this can be written as
$\sqrt { 5 } \cdot { \left( \frac { 5 }{ { 2 }^{ 2 } }  \right)  }^{ \frac { 1 }{ 2 }  }$
Any Ideas?
 [/INST] $$\sqrt { 5 } { \left( \frac { 5 }{ 4 }  \right)  }^{ \frac { 1 }{ 2 }  }={ 5 }^{ \frac { 1 }{ 2 }  }\cdot { \left( \frac { 5 }{ { 2 }^{ 2 } }  \right)  }^{ \frac { 1 }{ 2 }  }={ 5 }^{ \frac { 1 }{ 2 }  }\cdot \frac { { 5 }^{ \frac { 1 }{ 2 }  } }{ { \left( { 2 }^{ 2 } \right)  }^{ \frac { 1 }{ 2 }  } } =\frac { { 5 }^{ \frac { 1 }{ 2 } +\frac { 1 }{ 2 }  } }{ { 2 } } =\frac { 5 }{ 2 } $$
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