Solve 4xy^4*5x^5y^7

$$4 x y ^ { 4 } \cdot 5 x ^ { 5 } y ^ { 7 }$$

Evaluate

$$20x^{6}y^{11}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$4^{1}x^{1}y^{4}\times 5^{1}x^{5}y^{7}$$

Use the Commutative Property of Multiplication.

$$4^{1}\times 5^{1}x^{1}x^{5}y^{4}y^{7}$$

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

$$4^{1}\times 5^{1}x^{1+5}y^{4+7}$$

Add the exponents 1 and 5.

$$4^{1}\times 5^{1}x^{6}y^{4+7}$$

Add the exponents 4 and 7.

$$4^{1}\times 5^{1}x^{6}y^{11}$$

Multiply 4 times 5.

$$20x^{6}y^{11}$$

Differentiate w.r.t. x

$$120x^{5}y^{11}$$