Solve 2x^4*7y^2div4x^2y

$$2 x ^ { 4 } \times 7 y ^ { 2 } \div 4 x ^ { 2 } y$$

Evaluate

$$\frac{7y^{3}x^{6}}{2}$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14x^{4}y^{2}}{4}x^{2}y$$

Divide 14x^{4}y^{2} by 4 to get \frac{7}{2}x^{4}y^{2}.

$$\frac{7}{2}x^{4}y^{2}x^{2}y$$

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

$$\frac{7}{2}x^{6}y^{2}y$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{7}{2}x^{6}y^{3}$$

Differentiate w.r.t. x

$$21y^{3}x^{5}$$