Simplify. Express your answer using positive exponents. \( \frac{\left(7 j k^{2}\right)\left(6 j^{2} k\right)}{j^{3} k} \)

To simplify the expression \( \frac{\left(7 j k^{2}\right)\left(6 j^{2} k\right)}{j^{3} k} \), we first multiply the terms in the numerator: \[ 7 j k^{2} \cdot 6 j^{2} k = 42 j^{1+2} k^{2+1} = 42 j^{3} k^{3} \] Now, the expression can be rewritten as: \[ \frac{42 j^{3} k^{3}}{j^{3} k} \] Next, we divide the terms: \[ \frac{42 j^{3}}{j^{3}} = 42 \quad \text{and} \quad \frac{k^{3}}{k} = k^{3-1} = k^{2} \] By combining these results, we simplify to: \[ 42 k^{2} \] Thus, the final answer is: \[ 42 k^{2} \] Expressing it with positive exponents only, we have: \[ 42 k^{2} \]