Question

Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2?

6 over 7 plus 2 equals 2 and 6 over 7
6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7
6 over 7 times 6 over 7 equals 36 over 49
6 over 7 divided by 2 equals 6 over 14

Answer 1

For this case we have the following expression:
6 over 7 to the power of 2
(6/7) ^ 2
By power properties we can rewrite the expression as:
(6/7) * (6/7)
Calculating we have:
(6/7) * (6/7) = 36/49
Answer:
6 over 7 times 6 over 7 equals 36 over 49