To solve the expression [tex]\(4x^1\)[/tex] when [tex]\(x = 8\)[/tex], we'll follow these steps:
1. Identify the value of [tex]\(x\)[/tex]: We are given that [tex]\(x = 8\)[/tex].
2. Evaluate the exponent [tex]\(x^1\)[/tex]: Since any number raised to the power of 1 is the number itself, [tex]\(x^1 = 8^1 = 8\)[/tex].
3. Multiply by the coefficient: The expression [tex]\(4x^1\)[/tex] can be simplified by multiplying 4 by the value of [tex]\(x^1\)[/tex]. So,
[tex]\[
4x^1 = 4 \cdot 8.
\][/tex]
4. Simplify the multiplication: Perform the multiplication to find the final result.
[tex]\[
4 \cdot 8 = 32.
\][/tex]
Thus, the solution to the expression [tex]\(4x^1\)[/tex] when [tex]\(x = 8\)[/tex] is [tex]\(\boxed{32}\)[/tex].
