Question

problem 2
evaluate the expression $4 \cdot 3^x$ when $x$ is 2.
type your answer in the box.

Explanation:

Step1: Substitute \( x = 2 \) into the expression

We have the expression \( 4\cdot3^{x} \). Substitute \( x = 2 \) into it, so we get \( 4\cdot3^{2} \).

Step2: Calculate the exponent

First, calculate \( 3^{2} \). According to the definition of exponent, \( 3^{2}=3\times3 = 9 \).

Step3: Multiply the results

Now, multiply 4 by the result of \( 3^{2} \), that is \( 4\times9 = 36 \).

Answer:

36