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

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 ： $\sqrt{2 x - 2}$