Simplify -(25x^3y^3)/(14a^2b)*(-(21ab)/(10x^2y))

$- \frac{25 x^{3} y^{3}}{14 a^{2} b} \cdot (- \frac{21 a b}{10 x^{2} y})$

Cancel the common factor of $5 x^{2} y$ .

Move the leading negative in $- \frac{25 x^{3} y^{3}}{14 a^{2} b}$ into the numerator.

$\frac{- 25 x^{3} y^{3}}{14 a^{2} b} \cdot (- \frac{21 a b}{10 x^{2} y})$

Move the leading negative in $- \frac{21 a b}{10 x^{2} y}$ into the numerator.

$\frac{- 25 x^{3} y^{3}}{14 a^{2} b} \cdot \frac{- 21 a b}{10 x^{2} y}$

Factor $5 x^{2} y$ out of $- 25 x^{3} y^{3}$ .

$\frac{5 x^{2} y (- 5 x y^{2})}{14 a^{2} b} \cdot \frac{- 21 a b}{10 x^{2} y}$

Factor $5 x^{2} y$ out of $10 x^{2} y$ .

$\frac{5 x^{2} y (- 5 x y^{2})}{14 a^{2} b} \cdot \frac{- 21 a b}{5 x^{2} y (2)}$

Cancel the common factor.

$\frac{5 x^{2} y (- 5 x y^{2})}{14 a^{2} b} \cdot \frac{- 21 a b}{5 x^{2} y \cdot 2}$

Rewrite the expression.

$\frac{- 5 x y^{2}}{14 a^{2} b} \cdot \frac{- 21 a b}{2}$

Cancel the common factor of $7 a b$ .

Factor $7 a b$ out of $14 a^{2} b$ .

$\frac{- 5 x y^{2}}{7 a b (2 a)} \cdot \frac{- 21 a b}{2}$

Factor $7 a b$ out of $- 21 a b$ .

$\frac{- 5 x y^{2}}{7 a b (2 a)} \cdot \frac{7 a b (- 3)}{2}$

Cancel the common factor.

$\frac{- 5 x y^{2}}{7 a b (2 a)} \cdot \frac{7 a b \cdot - 3}{2}$

Rewrite the expression.

$\frac{- 5 x y^{2}}{2 a} \cdot \frac{- 3}{2}$

Multiply $\frac{- 5 x y^{2}}{2 a}$ by $\frac{- 3}{2}$ .

$\frac{- 5 x y^{2} \cdot - 3}{2 a \cdot 2}$

Multiply.

Multiply $- 3$ by $- 5$ .

$\frac{15 x y^{2}}{2 a \cdot 2}$

Multiply $2$ by $2$ .

$\frac{15 x y^{2}}{4 a}$