Respuesta :

Answer:

5/7

Step-by-step explanation:

(25/49)^-1/2

The exponent, (-1/2), is telling us to take the square root of (25/49).  [An exponent of (-1/2) would be the cube root]

Let's rewrite this in a more familiar format:

           [tex]\sqrt{25/49}[/tex]

 This can also be viewed as [tex]\sqrt{25}[/tex]/[tex]\sqrt{49}[/tex]

     [tex]\sqrt{25}[/tex] = 5

     [tex]\sqrt{49}[/tex] = 7

Therefore, (25/49)^-1/2  = 5/7

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