Solve 9x^2y^4*3xy^2

$$9 x ^ { 2 } y ^ { 4 } \cdot 3 x y ^ { 2 }$$

Evaluate

$$27x^{3}y^{6}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$9^{1}x^{2}y^{4}\times 3^{1}x^{1}y^{2}$$

Use the Commutative Property of Multiplication.

$$9^{1}\times 3^{1}x^{2}x^{1}y^{4}y^{2}$$

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

$$9^{1}\times 3^{1}x^{2+1}y^{4+2}$$

Add the exponents 2 and 1.

$$9^{1}\times 3^{1}x^{3}y^{4+2}$$

Add the exponents 4 and 2.

$$9^{1}\times 3^{1}x^{3}y^{6}$$

Multiply 9 times 3.

$$27x^{3}y^{6}$$

Differentiate w.r.t. x

$$81x^{2}y^{6}$$