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