483,799 views
17 votes
17 votes
Evaluate 6^-2

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

User Ashishmaurya
by
2.8k points

2 Answers

27 votes
27 votes


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

The answer is C

User Arti
by
2.8k points
21 votes
21 votes

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) "
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Hope this answer—and explanation—is helpful to you

User Aliteralmind
by
3.4k points
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