Solve 2x^6y^5*6x^5y^8

$$2 x ^ { 6 } y ^ { 5 } \cdot 6 x ^ { 5 } y ^ { 8 }$$

Evaluate

$$12x^{11}y^{13}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$2^{1}x^{6}y^{5}\times 6^{1}x^{5}y^{8}$$

Use the Commutative Property of Multiplication.

$$2^{1}\times 6^{1}x^{6}x^{5}y^{5}y^{8}$$

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

$$2^{1}\times 6^{1}x^{6+5}y^{5+8}$$

Add the exponents 6 and 5.

$$2^{1}\times 6^{1}x^{11}y^{5+8}$$

Add the exponents 5 and 8.

$$2^{1}\times 6^{1}x^{11}y^{13}$$

Multiply 2 times 6.

$$12x^{11}y^{13}$$

Differentiate w.r.t. x

$$132x^{10}y^{13}$$