Solve 2*(-5/9x^4y^2*1/4x^2y^2)

$$2 \cdot ( - \frac { 5 } { 9 } x ^ { 4 } y ^ { 2 } \cdot \frac { 1 } { 4 } x ^ { 2 } y ^ { 2 } )$$

Evaluate

$$-\frac{5y^{4}x^{6}}{18}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$2\left(-\frac{5}{9}\right)x^{6}y^{2}\times \frac{1}{4}y^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$2\left(-\frac{5}{9}\right)x^{6}y^{4}\times \frac{1}{4}$$

Multiply 2 and -\frac{5}{9} to get -\frac{10}{9}.

$$-\frac{10}{9}x^{6}y^{4}\times \frac{1}{4}$$

Multiply -\frac{10}{9} and \frac{1}{4} to get -\frac{5}{18}.

$$-\frac{5}{18}x^{6}y^{4}$$

Differentiate w.r.t. x

$$-\frac{5y^{4}x^{5}}{3}$$