Respuesta :
Answer:
The given expression is equal to 25.
Step-by-step explanation:
The given expression is
[tex](\frac{125^{2} }{125^{\frac{4}{3} } } )[/tex]
To simplify this expression, we have to divide powers, which implies to subtract exponenets, as follows
[tex](\frac{125^{2} }{125^{\frac{4}{3} } } )=125^{2-\frac{4}{3} }=125^{\frac{6-4}{3} }=125^{\frac{2}{3} }[/tex]
Then, we use the exponent property to transform the obtained power to a root
[tex]125^{\frac{2}{3} }=\sqrt[3]{125^{2} } =\sqrt[3]{15625} =25[/tex]
Therefore, the given expression is equal to 25.
