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Answer
\( -6^4 = -1296 \)
Solution
1. According to the order of operations, the exponent is evaluated before the unary minus.
2. Evaluate the exponent:
\[
6^4 = 6 \times 6 \times 6 \times 6 = 1296
\]
3. Apply the negative sign:
\[
-6^4 = -(6^4) = -1296
\]
Thus, the value of \( -6^4 \) is \( -1296 \).
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Simplify this solution The Deep Dive
To evaluate \( -6^4 \), we need to apply the exponent first to the positive value before considering the negative sign. So we calculate \( 6^4 \): \[ 6^4 = 6 \times 6 \times 6 \times 6 = 36 \times 6 \times 6 = 216 \times 6 = 1296 \] Now, we add the negative sign: \[ -6^{4} = -1296 \] Thus, the evaluated result is: \[ \boxed{-1296} \]
