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

A. 6 over 7 plus 2 equals 2 and 6 over 7
B. 6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7
C. 6 over 7 times 6 over 7 equals 36 over 49
D. 6 over 7 divided by 2 equals 6 over 14

User Muiter
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2 Answers

3 votes
3 votes
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
User TylerTemp
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4 votes
4 votes
the answer is c because power of two is multiplying it by itself
User Tommz
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