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Determine the value of the expression if [tex]$x=4$[/tex].

[tex]\[2 \cdot 3 \cdot 1 \cdot x^3\][/tex]

[tex]\[= 10\][/tex]

[tex]\[ (3) \][/tex]

[tex]\[ \sqrt[3]{10} \][/tex]


Sagot :

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]