9: 3(6 cdot 4) 27 6 cdot 4 21 cdot 4 84

Let's break down the given expression step by step:<br /><br />1. \( 9: 3(6 \cdot 4) \)<br /><br />First, we need to evaluate the expression inside the parentheses:<br />\[ 6 \cdot 4 = 24 \]<br /><br />So the expression becomes:<br />\[ 9: 3 \cdot 24 \]<br /><br />Next, we perform the multiplication:<br />\[ 3 \cdot 24 = 72 \]<br /><br />So the expression now is:<br />\[ 9: 72 \]<br /><br />2. \( 27 \quad 6 \cdot 4 \)<br /><br />This part seems to be a separate statement. We already know from the previous step that:<br />\[ 6 \cdot 4 = 24 \]<br /><br />So this part is simply:<br />\[ 27 \quad 24 \]<br /><br />3. \( 21 \cdot 4 \)<br /><br />This is a straightforward multiplication:<br />\[ 21 \cdot 4 = 84 \]<br /><br />4. \( 84 \)<br /><br />This is just a number, so it remains:<br />\[ 84 \]<br /><br />Putting it all together, the steps are:<br /><br />1. \( 9: 3(6 \cdot 4) = 9: 3 \cdot 24 = 9: 72 \)<br />2. \( 27 \quad 6 \cdot 4 = 27 \quad 24 \)<br />3. \( 21 \cdot 4 = 84 \)<br />4. \( 84 \)<br /><br />So the final result is:<br />\[ 84 \]