Which of the following is equivalent to 6^−2?
Responses
1\36
1\6^−2
1\2^6
36
The correct equivalent expression for 6^−2 is 1\36.
To find the equivalent expression for 6^(-2), we can use the rule that states a negative exponent is equivalent to taking the reciprocal.
So, 6^(-2) is equivalent to 1/(6^2).
Simplifying further, 6^2 is equal to 6 * 6, which is 36.
Therefore, the equivalent expression for 6^(-2) is 1/36.
Hence, the correct response is 1/36.