Respuesta :

We need to simplify this number.  We begin by evaluating the numbers inside the equation.  We can simplify this to:

[tex](2 \sqrt{k})^{-2} [/tex]

Now, we evaluate this one step further.  Because a negative exponent makes the number 1 over what it was, we can make this problem:

[tex] \frac{1}{(2 \sqrt{k})^{2} } [/tex]

This becomes:

[tex] \frac{1}{(2 \sqrt{k})(2 \sqrt{k} ) } --\ \textgreater \ \frac{1}{4k} [/tex]

So, 1/4k is the answer.  This is the same as C, so C is the right answer.
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