Question

use the order of operations to evaluate each expression when x = 3. simplify. x⁴ = (3)⁴ = 3·3·3·3 = \boxed{}

Explanation:

Step1: Substitute \( x = 3 \)

Given \( x^4 \), substitute \( x = 3 \) to get \( (3)^4 \).

Step2: Expand the exponent

\( 3^4 \) means multiplying 3 by itself 4 times, so \( 3 \cdot 3 \cdot 3 \cdot 3 \).

Step3: Calculate the product

First, \( 3 \cdot 3 = 9 \). Then, \( 9 \cdot 3 = 27 \). Finally, \( 27 \cdot 3 = 81 \).

Answer:

\( 81 \)