Solve 5x^5y*3x^4y^7

$$5 x ^ { 5 } y \cdot 3 x ^ { 4 } y ^ { 7 }$$

Evaluate

$$15y^{8}x^{9}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$5^{1}x^{5}y^{1}\times 3^{1}x^{4}y^{7}$$

Use the Commutative Property of Multiplication.

$$5^{1}\times 3^{1}x^{5}x^{4}y^{1}y^{7}$$

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

$$5^{1}\times 3^{1}x^{5+4}y^{1+7}$$

Add the exponents 5 and 4.

$$5^{1}\times 3^{1}x^{9}y^{1+7}$$

Add the exponents 1 and 7.

$$5^{1}\times 3^{1}x^{9}y^{8}$$

Multiply 5 times 3.

$$15x^{9}y^{8}$$

Differentiate w.r.t. x

$$135\left(xy\right)^{8}$$