Solve (6xyz^4)(5xy^3)

$$( 6 x y z ^ { 4 } ) ( 5 x y ^ { 3 } )$$

Evaluate

$$30x^{2}\left(yz\right)^{4}$$

Solution Steps

Multiply x and x to get x^{2}.

$$6x^{2}yz^{4}\times 5y^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$6x^{2}y^{4}z^{4}\times 5$$

Multiply 6 and 5 to get 30.

$$30x^{2}y^{4}z^{4}$$

Differentiate w.r.t. x

$$60x\left(yz\right)^{4}$$