ANSWER and EXPLANATION
To understand this, we must first understand that 1 multiplied by any number or variable equals that number or variable.
So:
[tex]1\cdot5^4=4^4[/tex]Now, 5 raised to power of 4 (5^4) means that 5 multiplies itself 4 times.
So, we have that:
[tex]\begin{gathered} 5^4\text{ = 5 }\cdot\text{ 5 }\cdot\text{ 5 }\cdot\text{ 5} \\ \Rightarrow5^4\text{ = 25 }\cdot\text{ 25} \\ 5^4\text{ = 625} \end{gathered}[/tex]