Solve 2y^3*5x^4*3y^2*2x

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

Evaluate

$$60\left(xy\right)^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

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

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

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

Multiply 2 and 5 to get 10.

$$10y^{5}x^{5}\times 3\times 2$$

Multiply 10 and 3 to get 30.

$$30y^{5}x^{5}\times 2$$

Multiply 30 and 2 to get 60.

$$60y^{5}x^{5}$$

Differentiate w.r.t. x

$$300x^{4}y^{5}$$