Solve 6xy^3z*3x^2yx^2

$$6 x y ^ { 3 } z \cdot 3 x ^ { 2 } y x ^ { 2 }$$

Evaluate

$$18zy^{4}x^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$6x^{3}y^{3}z\times 3yx^{2}$$

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

$$6x^{5}y^{3}z\times 3y$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$6x^{5}y^{4}z\times 3$$

Multiply 6 and 3 to get 18.

$$18x^{5}y^{4}z$$

Differentiate w.r.t. x

$$90z\left(xy\right)^{4}$$