Which of the following is equivalent to 6^-2?(1 point)
Responses
16−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction
36
36
126
Start Fraction 1 over 2 superscript 6 baseline End Fraction
136
The correct response is:
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction
To find the equivalent of 6^-2, we need to calculate the reciprocal of 6^2.
Since any number raised to the power of -2 is equal to the reciprocal of that number raised to the power of 2, we can calculate it as follows:
6^2 is equal to 36.
The reciprocal of 36 is 1/36.
Therefore, the correct answer is "Start Fraction 1 over 36 End Fraction".