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The given problem asks us to evaluate the expression . To solve this, we must correctly handle the operations of exponentiation and negation.
Firstly, examine :
- means multiplying 7 by itself.
- Calculating this gives: .
Next, apply the negative sign to the result:
- The expression indicates that we apply the negative sign to the result of .
- Therefore, multiply the result by :
.
Thus, the correct evaluation of the expression is .
Thus, the solution to this problem is .
\( (-2)^7= \)
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