Solve -25x^2div15yx^4*12y

$$-25 { x }^{ 2 } \div 15y { x }^{ 4 } \times 12y$$

Evaluate

$$-20y^{2}x^{6}$$

Solution Steps

Multiply y and y to get y^{2}.

$$\frac{-25x^{2}}{15}y^{2}x^{4}\times 12$$

Divide -25x^{2} by 15 to get -\frac{5}{3}x^{2}.

$$-\frac{5}{3}x^{2}y^{2}x^{4}\times 12$$

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

$$-\frac{5}{3}x^{6}y^{2}\times 12$$

Multiply -\frac{5}{3} and 12 to get -20.

$$-20x^{6}y^{2}$$

Differentiate w.r.t. x

$$-120y^{2}x^{5}$$