To evaluate the expression \(2 \cdot 3^2 \cdot 3\):
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Calculate \(3^2\): \[ 3^2 = 9 \]
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Substitute back into the expression: \[ 2 \cdot 9 \cdot 3 \]
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Now, do the multiplication: \[ 2 \cdot 9 = 18 \] \[ 18 \cdot 3 = 54 \]
Thus, the final result is: \[ 2 \cdot 3^2 \cdot 3 = 54 \]