To simplify the expression \(4^3 \div 8 + 9\) using the order of operations, we will follow these steps:
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Calculate \(4^3\): \[ 4^3 = 64 \]
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Now substitute back into the expression: \[ 64 \div 8 + 9 \]
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Perform the division: \[ 64 \div 8 = 8 \]
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Now substitute this result back into the expression: \[ 8 + 9 \]
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Now perform the addition: \[ 8 + 9 = 17 \]
Thus, the simplified expression is: \[ \boxed{17} \]