Answer
$\frac{36}{49}$
Work Step by Step
RECALL:
$\frac{a}{b}\div\frac{c}{d} =\frac{a}{b}\times\frac{d}{c} $
We use the rule above to obtan:
$(\frac{5}{7})\times(-\frac{6}{5})\times(-\frac{6}{7})$
Then, we multiply the numerators by each other and multiply the denominators by each other:
$\frac{5\times-6\times-6}{7\times5\times7}$
Now, we cancel out the common factors in the numerator and the denominator to simplify the expression:
$\frac{5\times-6\times-6}{7\times5\times7}=\frac{1\times-6\times-6}{7\times1\times7}=\frac{36}{49}$