Question

use the order of operations to evaluate each expression when x = 3.
$x^4 = (3)^4$
$= 3 \cdot 3 \cdot 3 \cdot 3$
$= 81$
$7 + x^4 = 7 + (3)^4$
$= 88$
powers are evaluated befor
substitute 3 for x in the expression.
$(7 + x)^4 = 7 + ( ? )^4$
options: 3, 7, 4

Explanation:

Step1: Identify substitution value

The problem states \( x = 3 \), so we substitute \( x \) with 3 in the expression \( (7 + x)^4 \).

Step2: Substitute into the expression

Substituting \( x = 3 \) into \( [7 + (\quad)]^4 \), we get \( [7 + 3]^4 \). So the missing value is 3.

Answer:

3