Simplify \( \left(\frac{5}{8} a\right)\left(\frac{3}{7} a\right) \)

To simplify the expression \( \left(\frac{5}{8} a\right)\left(\frac{3}{7} a\right) \), follow these steps: 1. **Multiply the coefficients (numerators and denominators):** \[ \frac{5}{8} \times \frac{3}{7} = \frac{5 \times 3}{8 \times 7} = \frac{15}{56} \] 2. **Multiply the variables:** \[ a \times a = a^2 \] 3. **Combine the results:** \[ \frac{15}{56} \times a^2 = \frac{15}{56}a^2 \] So, the simplified form of the expression is: \[ \frac{15}{56}a^2 \] **Final Answer:** \(\dfrac{15}{56}\, a^{2}\)