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

$$- 5 x ^ { 4 } \cdot 3 y ^ { - 2 } \cdot x ^ { - 3 } \cdot y ^ { 3 }$$

Evaluate

$$-15xy$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-5\right)^{1}x^{4}y^{-2}\times 3^{1}x^{-3}y^{3}$$

Use the Commutative Property of Multiplication.

$$\left(-5\right)^{1}\times 3^{1}x^{4}x^{-3}y^{-2}y^{3}$$

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

$$\left(-5\right)^{1}\times 3^{1}x^{4-3}y^{-2+3}$$

Add the exponents 4 and -3.

$$\left(-5\right)^{1}\times 3^{1}x^{1}y^{-2+3}$$

Add the exponents -2 and 3.

$$\left(-5\right)^{1}\times 3^{1}xy^{1}$$

Multiply -5 times 3.

$$-15xy$$

Differentiate w.r.t. x

$$-15y$$