To solve the expression \( 6 \times 24 \div 2^2 \), we will follow the order of operations.
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Calculate \( 2^2 \): \[ 2^2 = 4 \]
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Substitute \( 2^2 \) in the expression: \[ 6 \times 24 \div 4 \]
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Perform the multiplication: \[ 6 \times 24 = 144 \]
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Now divide by 4: \[ 144 \div 4 = 36 \]
Therefore, the final result is: \[ \boxed{36} \]