simplify

p to the power 4 times p

I assume you mean

(p^4)*p
=p*p*p*p * p
=p^5

To simplify the expression p to the power of 4 times p, we can combine the two p terms by adding their exponents.

When you have the same base raised to different exponents and you want to multiply them, you can add the exponents. In this case, the base, p, is raised to the 4th power and then multiplied by p (which can be thought of as p to the power of 1).

So, p to the power of 4 times p can be simplified as p^4 * p^1.

To simplify further, add the exponents together: 4 + 1 = 5.

Therefore, p to the power of 4 times p simplifies to p^5.