Solve (9y^2z^4)(1)(64y^6z^9)

$$(9 { y }^{ 2 } { z }^{ 4 } )(1)(64 { y }^{ 6 } { z }^{ 9 } )$$

Evaluate

$$576y^{8}z^{13}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$9^{1}y^{2}z^{4}\times 64^{1}y^{6}z^{9}$$

Use the Commutative Property of Multiplication.

$$9^{1}\times 64^{1}y^{2}y^{6}z^{4}z^{9}$$

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

$$9^{1}\times 64^{1}y^{2+6}z^{4+9}$$

Add the exponents 2 and 6.

$$9^{1}\times 64^{1}y^{8}z^{4+9}$$

Add the exponents 4 and 9.

$$9^{1}\times 64^{1}y^{8}z^{13}$$

Multiply 9 times 64.

$$576y^{8}z^{13}$$

Differentiate w.r.t. y

$$4608y^{7}z^{13}$$