Respuesta :

zoexoe
The answer is C. 2/5
When we raise the quotient 4/25 to the power of 1/2, we raise both the numerator and the denominator to the power. Here, our numerator is 4, our denominator is 25. Therefore,
     (4/25)^(1/2) = 4^(1/2)/25^(1/2).
This property of exponents is called the power of a quotient power, where the denominator is not equal to zero. 

For the one-half power of a number, we can write it as the square root of the number:
     (4/25)^(1/2) = sqrt(4) / sqrt(25) = 2/5
Therefore, (4/25)^(1/2) = 2/5
penfila11Pen
Hey there :)

[tex]\boxed { (\frac{4}{25})^ \frac{1}{2} } [/tex]

The power [tex] \frac{1}{2} [/tex] is on both 4 and 25 

Note that a power of [tex] \frac{1}{2} [/tex] means √ ( square root )

Therefore:
[tex]\boxed{ \frac{4^ \frac{1}{2} }{25^ \frac{1}{2} } } [/tex] 
[tex]\boxed { \frac{ \sqrt{4} }{ \sqrt{25} } } = \boxed { \frac{2}{5} } [/tex]

Your answer will be [tex]\boxed{option \ C }[/tex]