a. \( x^{3} \cdot x^{2}=\square \)

To solve \( x^{3} \cdot x^{2} \), you simply add the exponents since the bases are the same. Therefore, \( x^{3} \cdot x^{2} = x^{3+2} = x^{5} \). So, the answer is \( x^{5} \)! When dealing with exponent rules, remember that multiplication of terms with the same base always leads to exponent addition. A common mistake is forgetting to add the exponents and instead thinking that you need to multiply them, which would lead to incorrect results. So keep that in mind for future calculations!