Simplify.

Rewrite the expression in the form
\[x^n\].
\[x^3\cdot x^5=\]

To simplify the expression, we can use the property of exponents that states $x^a \cdot x^b = x^{a+b}$. Applying this property, we have:

\[x^3 \cdot x^5 = x^{3+5} = x^8\]