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  • 03-09-2015
  • Mathematics
contestada

what is 125^2/3 in simplest form? and What is \sqrt[5]({-245} ) ^{5} in simplest form?

Respuesta :

Аноним Аноним
  • 03-09-2015
[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
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