Exponents and Polynomials

Evaluate [tex]$4 x^1$[/tex] if [tex]$x=8$[/tex].

The solution is [tex] \square [/tex].

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Answer :

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].