Simplify the given exponential expression. \( x^{6} \cdot x^{3} \) \( x^{6} \cdot x^{3}=\square \)

When you multiply exponential expressions with the same base, you simply add the exponents. So, in this case, you take the exponents of \(x^{6}\) and \(x^{3}\) which are 6 and 3, respectively. Adding these gives you \(6 + 3 = 9\). Thus, you have \(x^{6} \cdot x^{3} = x^{9}\). So, \(x^{6} \cdot x^{3} = x^{9}\). Remember, this rule is super handy for simplifying expressions and letting you focus on solving larger problems without getting bogged down in intricate calculations!