Enter the number that makes the following mathematical statement true.(1 point)

Question

p⋅
/5 =p5

Answer 1

To solve the equation \( p \cdot \sqrt{5} = p^5 \), we can start by isolating \( p \).

Assuming \( p \neq 0 \), we can divide both sides by \( p \):

\[ \sqrt{5} = p^4 \]

Now, we take the fourth root of both sides to solve for \( p \):

\[ p = \sqrt[4]{\sqrt{5}} = 5^{1/8} \]

Thus, the number that makes the statement true is:

\[ \boxed{5^{1/8}} \]