Use the laws of exponents to simplify. \( \begin{array}{ll}3^{\frac{3}{4}} \cdot 3^{\frac{1}{8}} & 3^{\frac{3}{4}} \cdot 3^{\frac{1}{8}}=\square \\ & \text { (Simplify your answer. Type exponential notation } \\ \text { with positive exponents.) }\end{array} \)

To simplify \( 3^{\frac{3}{4}} \cdot 3^{\frac{1}{8}} \), you can use the laws of exponents which state that when multiplying like bases, you add the exponents. Therefore: \[ 3^{\frac{3}{4}} \cdot 3^{\frac{1}{8}} = 3^{\frac{3}{4} + \frac{1}{8}}. \] Now, you need a common denominator to add \(\frac{3}{4}\) and \(\frac{1}{8}\). The common denominator for 4 and 8 is 8. Rewrite \(\frac{3}{4}\) as \(\frac{6}{8}\). So: \[ \frac{3}{4} + \frac{1}{8} = \frac{6}{8} + \frac{1}{8} = \frac{7}{8}. \] Thus, the simplified form is: \[ 3^{\frac{7}{8}}. \]