To answer this question, we need to apply the following rule:
[tex]x^{-m}=\frac{1}{x^m}[/tex]
This rule is known as the negative exponent rule. We also need to remember that when we have an exponent of 1/2 is the same as finding the square root for a number. Then, we have:
[tex](\frac{1}{4})^{-\frac{1}{2}}=\frac{1}{(\frac{1}{4})^{\frac{1}{2}}}=\frac{1}{\frac{\sqrt[]{1}^{}}{\sqrt[]{4}}}[/tex]
Therefore, we have:
[tex]\frac{1}{\frac{1}{2}}=2[/tex]
Thus, we have that:
[tex](\frac{1}{4})^{-\frac{1}{2}}=2[/tex]
In summary, the correct answer is 2 (second option).
