Solve =6x^2y^4*8x^2y^2

$$= 6 x ^ { 2 } y ^ { 4 } \times 8 x ^ { 2 } y ^ { 2 }$$

Evaluate

$$48x^{4}y^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$6^{1}x^{2}y^{4}\times 8^{1}x^{2}y^{2}$$

Use the Commutative Property of Multiplication.

$$6^{1}\times 8^{1}x^{2}x^{2}y^{4}y^{2}$$

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

$$6^{1}\times 8^{1}x^{2+2}y^{4+2}$$

Add the exponents 2 and 2.

$$6^{1}\times 8^{1}x^{4}y^{4+2}$$

Add the exponents 4 and 2.

$$6^{1}\times 8^{1}x^{4}y^{6}$$

Multiply 6 times 8.

$$48x^{4}y^{6}$$

Differentiate w.r.t. x

$$192x^{3}y^{6}$$