Solve (x^2y)*(3/4x^2)*8y=

$$( x ^ { 2 } y ) \cdot ( \frac { 3 } { 4 } x ^ { 2 } ) \cdot 8 y =$$

Evaluate

$$6y^{2}x^{4}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(\frac{3}{4}\right)^{1}x^{2}y^{1}\times 8^{1}x^{2}y^{1}$$

Use the Commutative Property of Multiplication.

$$\left(\frac{3}{4}\right)^{1}\times 8^{1}x^{2}x^{2}y^{1}y^{1}$$

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

$$\left(\frac{3}{4}\right)^{1}\times 8^{1}x^{2+2}y^{1+1}$$

Add the exponents 2 and 2.

$$\left(\frac{3}{4}\right)^{1}\times 8^{1}x^{4}y^{1+1}$$

Add the exponents 1 and 1.

$$\left(\frac{3}{4}\right)^{1}\times 8^{1}x^{4}y^{2}$$

Multiply \frac{3}{4} times 8.

$$6x^{4}y^{2}$$

Differentiate w.r.t. x

$$24y^{2}x^{3}$$