Solve (78xy^2)(63x^2y)

$$( 78 x y ^ { 2 } ) ( 63 x ^ { 2 } y )$$

Evaluate

$$4914\left(xy\right)^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$78^{1}x^{1}y^{2}\times 63^{1}x^{2}y^{1}$$

Use the Commutative Property of Multiplication.

$$78^{1}\times 63^{1}x^{1}x^{2}y^{2}y^{1}$$

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

$$78^{1}\times 63^{1}x^{1+2}y^{2+1}$$

Add the exponents 1 and 2.

$$78^{1}\times 63^{1}x^{3}y^{2+1}$$

Add the exponents 2 and 1.

$$78^{1}\times 63^{1}x^{3}y^{3}$$

Multiply 78 times 63.

$$4914x^{3}y^{3}$$

Differentiate w.r.t. x

$$14742x^{2}y^{3}$$