Problem

Select the expression that is equivalent to \( \frac{1}{(2 x-2)^{-\frac{1}{2}}} \)
\( \sqrt{2 x-2} \)
\( \frac{1}{\sqrt{(2 x-2)^{2}}} \)
Submit Answer
\( \sqrt{(2 x-2)^{2}} \)
\( \frac{1}{\sqrt{2 x-2}} \)

Answer

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Answer

\( \sqrt{2 x-2} \)

Steps

Step 1 ：\( \frac{1}{(2 x-2)^{-\frac{1}{2}}}=(2 x-2)^{\frac{1}{2}} \)

Step 2 ：\( (2 x-2)^{\frac{1}{2}}=\sqrt{2 x-2} \)

Step 3 ：\( \sqrt{2 x-2} \)

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