how is 1×5^(4) equal to 625

Answer :

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]