Solve 6y^4div4xy^2*2xy

$$6 { y }^{ 4 } \div 4x { y }^{ 2 } \times 2xy$$

Evaluate

$$3x^{2}y^{7}$$

Solution Steps

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

$$\frac{6y^{4}}{4}x^{2}y^{2}\times 2y$$

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

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

Divide 6y^{4} by 4 to get \frac{3}{2}y^{4}.

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

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

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

Multiply \frac{3}{2} and 2 to get 3.

$$3y^{7}x^{2}$$

Differentiate w.r.t. x

$$6xy^{7}$$