[tex]{ 125 }^{ \frac { 2 }{ 3 } }\\ \\ ={ \left( { 125 }^{ \frac { 1 }{ 3 } } \right) }^{ 2 }\\ \\ ={ \left( \sqrt [ 3 ]{ 125 } \right) }^{ 2 }\\ \\ ={ 5 }^{ 2 }\\ \\ =25[/tex]
This is because:
[tex]{ a }^{ \frac { m }{ n } }\\ \\ =\sqrt [ n ]{ { a }^{ m } } [/tex]
Remember that:
5 x 5 x 5 = 125
