Simplify (72x^2)/(25y^5)*(-(2.5y^4)/(27x^5))

$\frac{72 x^{2}}{25 y^{5}} \cdot (- \frac{2.5 y^{4}}{27 x^{5}})$

Rewrite using the commutative property of multiplication.

$- \frac{72 x^{2}}{25 y^{5}} \cdot \frac{2.5 y^{4}}{27 x^{5}}$

Cancel the common factor of $9 x^{2}$ .

Move the leading negative in $- \frac{72 x^{2}}{25 y^{5}}$ into the numerator.

$\frac{- 72 x^{2}}{25 y^{5}} \cdot \frac{2.5 y^{4}}{27 x^{5}}$

Factor $9 x^{2}$ out of $- 72 x^{2}$ .

$\frac{9 x^{2} (- 8)}{25 y^{5}} \cdot \frac{2.5 y^{4}}{27 x^{5}}$

Factor $9 x^{2}$ out of $27 x^{5}$ .

$\frac{9 x^{2} (- 8)}{25 y^{5}} \cdot \frac{2.5 y^{4}}{9 x^{2} (3 x^{3})}$

Cancel the common factor.

$\frac{9 x^{2} \cdot - 8}{25 y^{5}} \cdot \frac{2.5 y^{4}}{9 x^{2} (3 x^{3})}$

Rewrite the expression.

$\frac{- 8}{25 y^{5}} \cdot \frac{2.5 y^{4}}{3 x^{3}}$

Cancel the common factor of $2.5 y^{4}$ .

Factor $2.5 y^{4}$ out of $25 y^{5}$ .

$\frac{- 8}{2.5 y^{4} (10 y)} \cdot \frac{2.5 y^{4}}{3 x^{3}}$

Cancel the common factor.

$\frac{- 8}{2.5 y^{4} (10 y)} \cdot \frac{2.5 y^{4}}{3 x^{3}}$

Rewrite the expression.

$\frac{- 8}{10 y} \cdot \frac{1}{3 x^{3}}$

Multiply $\frac{- 8}{10 y}$ by $\frac{1}{3 x^{3}}$ .

$\frac{- 8}{10 y (3 x^{3})}$

Multiply $3$ by $10$ .

$\frac{- 8}{30 y x^{3}}$

Cancel the common factor of $- 8$ and $30$ .

Factor $2$ out of $- 8$ .

$\frac{2 (- 4)}{30 y x^{3}}$

Cancel the common factors.

Factor $2$ out of $30 y x^{3}$ .

$\frac{2 (- 4)}{2 (15 y x^{3})}$

Cancel the common factor.

$\frac{2 \cdot - 4}{2 (15 y x^{3})}$

Rewrite the expression.

$\frac{- 4}{15 y x^{3}}$

Move the negative in front of the fraction.

$- \frac{4}{15 y x^{3}}$