Solve 3/5x^2y(-5x^2y)(-xy)

$$\frac { 3 } { 5 } x ^ { 2 } y ( - 5 x ^ { 2 } y ) ( - x y )$$

Evaluate

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

Solution Steps

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

$$\frac{3}{5}x^{4}y\left(-5\right)y\left(-x\right)y$$

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

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

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

$$\frac{3}{5}x^{4}y^{3}\left(-5\right)\left(-x\right)$$

Multiply \frac{3}{5} and -5 to get -3.

$$-3x^{4}y^{3}\left(-x\right)$$

Multiply -3 and -1 to get 3.

$$3x^{4}y^{3}x$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

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

Differentiate w.r.t. x

$$15y^{3}x^{4}$$