Which of the following is equivalent to 6^−2?
1/36
1/2^6
36
1/6^−2
1/36
To find the equivalent value of 6^−2, we need to raise 6 to the power of -2.
Recall that any number raised to a negative exponent is equal to 1 divided by the number raised to the positive exponent.
So, 6^−2 is equal to 1 / 6^2.
Calculating 6^2, we get 36.
Therefore, 6^−2 is equivalent to 1 / 36.
Hence, the correct answer is 1/36.
To find the equivalent expression to 6^−2, we need to calculate the reciprocal of 6^2.
Step 1: Calculate 6^2
6^2 = 6 * 6 = 36
Step 2: Take the reciprocal of 36
Reciprocal of 36 is 1/36
So, 6^−2 is equivalent to 1/36.
Therefore, the correct option is 1/36.