Solve frac{15x^{2}}{25x^4y^2}*75x^3y^7/9y=

$$\frac { 15 x ^ { 2 } } { 25 x ^ { 4 } y ^ { 2 } } \cdot \frac { 75 x ^ { 3 } y ^ { 7 } } { 9 y } =$$

Evaluate

$$5xy^{4}$$

Solution Steps

Cancel out 5x^{2} in both numerator and denominator.

$$\frac{3}{5x^{2}y^{2}}\times \frac{75x^{3}y^{7}}{9y}$$

Cancel out 3y in both numerator and denominator.

$$\frac{3}{5x^{2}y^{2}}\times \frac{25x^{3}y^{6}}{3}$$

Multiply \frac{3}{5x^{2}y^{2}} times \frac{25x^{3}y^{6}}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 25x^{3}y^{6}}{5x^{2}y^{2}\times 3}$$

Cancel out 3\times 5x^{2}y^{2} in both numerator and denominator.

$$5xy^{4}$$

Differentiate w.r.t. x

$$5y^{4}$$