Solve (3x^3)(5xy^4)(2x^3y^2)

$$( 3 x ^ { 3 } ) ( 5 x y ^ { 4 } ) ( 2 x ^ { 3 } y ^ { 2 } )$$

Evaluate

$$30y^{6}x^{7}$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$3x^{7}\times 5y^{4}\times 2y^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$3x^{7}\times 5y^{6}\times 2$$

Multiply 3 and 5 to get 15.

$$15x^{7}y^{6}\times 2$$

Multiply 15 and 2 to get 30.

$$30x^{7}y^{6}$$

Differentiate w.r.t. x

$$210\left(xy\right)^{6}$$