Solve 4xy^3x(-9x^4y^2)

$$4 x y ^ { 3 } x ( - 9 x ^ { 4 } y ^ { 2 } )$$

Evaluate

$$-36y^{5}x^{6}$$

Solution Steps

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

$$4x^{2}y^{3}\left(-9\right)x^{4}y^{2}$$

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

$$4x^{6}y^{3}\left(-9\right)y^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

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

Multiply 4 and -9 to get -36.

$$-36x^{6}y^{5}$$

Differentiate w.r.t. x

$$-216\left(xy\right)^{5}$$