Which of the following represents \( 5^{4} \) in expanded form? A. \( 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \) B. \( 5 \cdot 5 \cdot 5 \cdot 5 \) C. \( 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \) D. \( 4 \cdot 4 \cdot 4 \cdot 4 \)

To determine which option represents \( 5^{4} \) in expanded form, we need to understand what \( 5^{4} \) means. The expression \( 5^{4} \) indicates that the base \( 5 \) is multiplied by itself a total of \( 4 \) times. Therefore, the expanded form of \( 5^{4} \) is: \[ 5 \cdot 5 \cdot 5 \cdot 5 \] Now, let's analyze the options: A. \( 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \) - This represents \( 4^{5} \), not \( 5^{4} \). B. \( 5 \cdot 5 \cdot 5 \cdot 5 \) - This represents \( 5^{4} \), but it is missing one multiplication (it only has \( 4 \) factors of \( 5 \)). C. \( 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \) - This represents \( 5^{5} \), not \( 5^{4} \). D. \( 4 \cdot 4 \cdot 4 \cdot 4 \) - This represents \( 4^{4} \), not \( 5^{4} \). The correct representation of \( 5^{4} \) in expanded form is not explicitly listed among the options, but the closest correct representation is option B, which is \( 5 \cdot 5 \cdot 5 \cdot 5 \). Thus, the answer is: **B. \( 5 \cdot 5 \cdot 5 \cdot 5 \)** (though it should ideally have one more \( 5 \) to be fully correct).