Solve (7x^6y^6)(9x^5y^-4)

$$( 7 x ^ { 6 } y ^ { 6 } ) ( 9 x ^ { 5 } y ^ { - 4 } )$$

Evaluate

$$63y^{2}x^{11}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$7^{1}x^{6}y^{6}\times 9^{1}x^{5}y^{-4}$$

Use the Commutative Property of Multiplication.

$$7^{1}\times 9^{1}x^{6}x^{5}y^{6}y^{-4}$$

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

$$7^{1}\times 9^{1}x^{6+5}y^{6-4}$$

Add the exponents 6 and 5.

$$7^{1}\times 9^{1}x^{11}y^{6-4}$$

Add the exponents 6 and -4.

$$7^{1}\times 9^{1}x^{11}y^{2}$$

Multiply 7 times 9.

$$63x^{11}y^{2}$$

Differentiate w.r.t. x

$$693y^{2}x^{10}$$