Solve 714x^-2y^2*4x^3y^-4

$$714 x ^ { - 2 } y ^ { 2 } \cdot 4 x ^ { 3 } y ^ { - 4 }$$

Evaluate

$$\frac{2856x}{y^{2}}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$714^{1}x^{-2}y^{2}\times 4^{1}x^{3}y^{-4}$$

Use the Commutative Property of Multiplication.

$$714^{1}\times 4^{1}x^{-2}x^{3}y^{2}y^{-4}$$

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

$$714^{1}\times 4^{1}x^{-2+3}y^{2-4}$$

Add the exponents -2 and 3.

$$714^{1}\times 4^{1}x^{1}y^{2-4}$$

Add the exponents 2 and -4.

$$714^{1}\times 4^{1}xy^{-2}$$

Multiply 714 times 4.

$$2856x\times \frac{1}{y^{2}}$$

Differentiate w.r.t. x

$$\frac{2856}{y^{2}}$$