Solve 2x^2y^4*4x^2y^4*3x

$$2 x ^ { 2 } y ^ { 4 } \cdot 4 x ^ { 2 } y ^ { 4 } \cdot 3 x$$

Evaluate

$$24x^{5}y^{8}$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

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

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$2x^{5}y^{8}\times 4\times 3$$

Multiply 2 and 4 to get 8.

$$8x^{5}y^{8}\times 3$$

Multiply 8 and 3 to get 24.

$$24x^{5}y^{8}$$

Differentiate w.r.t. x

$$120x^{4}y^{8}$$