Question

Evaluate 6^-2

a) -1/36
b)4
c) 1/36
d)-12

Answer 1

`{6}^( - 2) \\ \frac{1}{ {6}^(2) } \\ (1)/(36)`

The answer is C

Answer 2

The correct answer is: [C]: "
`(1)/(36)` " .

Step-by-step explanation:

We asked to evaluate: "
`6^(-2)` ".

Negative Exponent Rule: x–n = 1/xn.

"
`x^(-2) = (1)/(x^(2))` " ; { x
`\\eq` 0}'

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

"
`6^(-2) = (1)/(6^2)` " ;
Note the denominator; 6² = 6 * 6 = 36 ;

So: "
`\frac{1}^{6^(2)` "
= "
`(1)/(36)` ' ; which corresponds to:

Answer choice: [C]: "
`(1)/(36)` "
------------------------------------------------------------------------

Hope this answer—and explanation—is helpful to you