The Zero Power Rule states that any non-zero number raised to the power of zero equals one. Therefore, \((-40)^0\) equals 1.
Now, let's evaluate the expression step-by-step:
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Calculate \((-40)^0\): \[ (-40)^0 = 1 \]
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Next, evaluate the expression \(1/2(11 - 32)\): \[ 11 - 32 = -21 \] Then, \[ \frac{1}{2}(-21) = -\frac{21}{2} \]
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Now, combine the results: \[ 1 + \left(-\frac{21}{2}\right) = 1 - \frac{21}{2} \]
To combine these, we can convert 1 to a fraction with a denominator of 2: \[ 1 = \frac{2}{2} \] So, \[ \frac{2}{2} - \frac{21}{2} = \frac{2 - 21}{2} = \frac{-19}{2} \]
Therefore, the equivalent expression is: \[ \frac{-19}{2} \]
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