Answer
$(\frac{8a^{2}}{21b})$
Work Step by Step
To simplify, we multiply the numerators by each other and the denominators by each other while simplifying the fractions through the cancelling of common factors:
Step 1: $(-\frac{5a}{7b^{2}})\times(-\frac{8ab}{15})$
Step 2: $(-\frac{1a}{7b^{2}})\times(-\frac{8ab}{3})$
Step 3: $(-\frac{1a}{7b^{2-1}})\times(-\frac{8a}{3})$
Step 4: $(-\frac{1a}{7b})\times(-\frac{8a}{3})$
Step 5: $(\frac{8a^{2}}{21b})$