Question

Evaluate 6^-2 a) -1/36 b)4 c) 1/36 d)-12

Answer 1

The correct answer is:  [C]:   " $\frac{1}{36}$ " .

Explanation:

We asked to evaluate:  " $6^{-2}$ ".

Negative Exponent Rule: x–n = 1/xn.

" $x^{-2} = \frac{1}{x^{2}}$ " ;   { x $\neq$ 0}'

So:  Plug the number "6" into the variable, "x" :

" $6^{-2} = \frac{1}{6^2}$ " ;
Note the denominator;  6² = 6 * 6 = 36 ;

So:  " $\frac{1}^{6^{2}$ "
    = " $\frac{1}{36}$ ' ; which corresponds to:

Answer choice:  [C]:  " $\frac{1}{36}$ "
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Hope this answer—and explanation—is helpful to you

Answer 2

${6}^{ - 2} \\ \frac{1}{ {6}^{2} } \\ \frac{1}{36}$

The answer is C