Solve 3x^3*2x^2*y^3*y

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

Evaluate

$$6y^{4}x^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$3^{1}x^{3}y^{3}\times 2^{1}x^{2}y^{1}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times 2^{1}x^{3}x^{2}y^{3}y^{1}$$

To multiply powers of the same base, add their exponents.

$$3^{1}\times 2^{1}x^{3+2}y^{3+1}$$

Add the exponents 3 and 2.

$$3^{1}\times 2^{1}x^{5}y^{3+1}$$

Add the exponents 3 and 1.

$$3^{1}\times 2^{1}x^{5}y^{4}$$

Multiply 3 times 2.

$$6x^{5}y^{4}$$

Differentiate w.r.t. x

$$30\left(xy\right)^{4}$$