Final Answer:
The value of the expression \(p^4\) is not determined by the given information in the question.
Step-by-step explanation:
The value of \(p^4\) is dependent on the value of \(p\) itself. The expression \(p^4\) represents \(p\) raised to the power of 4. Without knowing the specific value of \(p\), it's impossible to calculate the value of \(p^4\).
Each option given (0, 4, 256, 24) doesn’t provide a value for \(p\) or any specific information about it. Therefore, none of the options can be definitively concluded as the value of \(p^4\) without knowing the actual value of \(p\).
The expression \(p^4\) signifies the result of multiplying \(p\) by itself four times. This can yield vastly different values based on the value of \(p\). For instance, if \(p\) were 2, then \(p^4\) would equal 16 (since \(2^4 = 2 \times 2 \times 2 \times 2 = 16\)). If \(p\) were 4, then \(p^4\) would equal 256 (\(4^4 = 4 \times 4 \times 4 \times 4 = 256\)).
Therefore, without the specific value of \(p\) provided in the question or any additional context to determine its value, it's impossible to ascertain the value of \(p^4\) among the options provided.