Simplify. \( \frac{b^{6} a^{3}}{b^{2} a^{5}} \)

To simplify the expression \( \frac{b^{6} a^{3}}{b^{2} a^{5}} \), you can apply the laws of exponents. Here's a step-by-step breakdown: 1. **Divide the bases with exponents:** - For the \( b \) terms: \( \frac{b^{6}}{b^{2}} = b^{6-2} = b^{4} \) - For the \( a \) terms: \( \frac{a^{3}}{a^{5}} = a^{3-5} = a^{-2} \) 2. **Combine the results:** - \( b^{4} \cdot a^{-2} \) 3. **Express with positive exponents:** - \( b^{4} \cdot \frac{1}{a^{2}} = \frac{b^{4}}{a^{2}} \) So, the simplified form of the expression is: \[ \frac{b^{4}}{a^{2}} \]