Question

1. which part of the expression $(2 + x)^4$ is raised to the fourth power?

$(2 + x)$
which expression shows $(2 + x)^4$ written without exponents?
$(2 + x) \cdot (2 + x) \cdot (2 + x) \cdot (2 + x)$ \t $2x \cdot 2x \cdot 2x \cdot 2x$
$2 \cdot 2 \cdot 2 \cdot 2 \cdot x \cdot x \cdot x \cdot x$ \t $2 + x \cdot x \cdot x \cdot x$

Explanation:

Step1: Recall exponent definition

An exponent \( n \) on a base \( b \) means \( b \) multiplied by itself \( n \) times, i.e., \( b^n = \underbrace{b \cdot b \cdot \dots \cdot b}_{n \text{ times}} \).

Step2: Apply to \( (2 + x)^4 \)

Here, the base is \( (2 + x) \) and the exponent is \( 4 \). So, \( (2 + x)^4 \) means \( (2 + x) \) multiplied by itself \( 4 \) times: \( (2 + x) \cdot (2 + x) \cdot (2 + x) \cdot (2 + x) \).

Answer:

\((2 + x) \cdot (2 + x) \cdot (2 + x) \cdot (2 + x)\)