Let's determine the value of the expression when [tex]\( x = 4 \)[/tex].
The expression given is:
[tex]\[ 2 \cdot 3 \cdot 1 \cdot x^3 \][/tex]
First, we need to evaluate [tex]\( x^3 \)[/tex] when [tex]\( x = 4 \)[/tex]:
[tex]\[ 4^3 = 4 \cdot 4 \cdot 4 = 64 \][/tex]
Next, we multiply this result by 2, then by 3, and finally by 1:
[tex]\[ 2 \cdot 3 \cdot 1 \cdot 64 \][/tex]
Let's proceed step-by-step:
1. Multiply 2 by 3:
[tex]\[ 2 \cdot 3 = 6 \][/tex]
2. Now multiply the result by 1:
[tex]\[ 6 \cdot 1 = 6 \][/tex]
3. Finally, multiply this result by 64:
[tex]\[ 6 \cdot 64 = 384 \][/tex]
So, the value of the expression when [tex]\( x = 4 \)[/tex] is:
[tex]\[ 384 \][/tex]