Certainly! Let's evaluate the expression [tex]\(5x^3\)[/tex] for [tex]\(x = 2\)[/tex] step-by-step.
1. Substitute the value of [tex]\(x\)[/tex]:
We need to substitute [tex]\(x = 2\)[/tex] into the expression [tex]\(5x^3\)[/tex]. This gives us:
[tex]\[
5(2)^3
\][/tex]
2. Calculate the exponent:
Next, we need to evaluate [tex]\(2^3\)[/tex]. The exponent indicates that we multiply 2 by itself three times:
[tex]\[
2^3 = 2 \times 2 \times 2 = 8
\][/tex]
3. Multiply by the coefficient:
Now, we take the result from the previous step and multiply it by 5:
[tex]\[
5 \times 8 = 40
\][/tex]
Therefore, the value of the expression [tex]\(5x^3\)[/tex] for [tex]\(x = 2\)[/tex] is:
[tex]\[
40
\][/tex]
