To simplify the expression \(x^4 \cdot x^4\), we can use the property of exponents that states when multiplying like bases, we add the exponents. Therefore, \(x^4 \cdot x^4 = x^{4+4} = x^8\).
Step 1: Identify the Expression
The given expression is \(x^4 \cdot x^4\).
Step 2: Apply the Property of Exponents
When multiplying expressions with the same base, we add the exponents. Therefore, we have:
\[
x^4 \cdot x^4 = x^{4+4} = x^8
\]