Solve 2xy^4x^-4zy^6

$$2 x y ^ { 4 } x ^ { - 4 } z y ^ { 6 }$$

Evaluate

$$\frac{2zy^{10}}{x^{3}}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$2^{1}x^{1}y^{4}z^{1}x^{-4}y^{6}$$

Use the Commutative Property of Multiplication.

$$2^{1}z^{1}x^{1}x^{-4}y^{4}y^{6}$$

To multiply powers of the same base, add their exponents.

$$2^{1}z^{1}x^{1-4}y^{4+6}$$

Add the exponents 1 and -4.

$$2^{1}z^{1}x^{-3}y^{4+6}$$

Add the exponents 4 and 6.

$$2^{1}z^{1}\times \frac{1}{x^{3}}y^{10}$$

Multiply 2 times z.

$$2z\times \frac{1}{x^{3}}y^{10}$$

Differentiate w.r.t. x

$$-\frac{6zy^{10}}{x^{4}}$$