To solve the expression \( 75 - 16(2)^2 \), follow the order of operations (PEMDAS/BODMAS):
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Calculate the exponent: \[ (2)^2 = 4 \]
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Multiply: \[ 16 \times 4 = 64 \]
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Subtract from 75: \[ 75 - 64 = 11 \]
Thus, the result of the expression \( 75 - 16(2)^2 \) is \( \boxed{11} \).