Solve (5x^3y^4)(4x^2y)

$$( 5 x ^ { 3 } y ^ { 4 } ) ( 4 x ^ { 2 } y )$$

Evaluate

$$20\left(xy\right)^{5}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

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

Use the Commutative Property of Multiplication.

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

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

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

Add the exponents 3 and 2.

$$5^{1}\times 4^{1}x^{5}y^{4+1}$$

Add the exponents 4 and 1.

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

Multiply 5 times 4.

$$20x^{5}y^{5}$$

Differentiate w.r.t. x

$$100x^{4}y^{5}$$