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

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

Evaluate

$$20y^{4}x^{9}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$-2x^{8}y\times 5\left(-2\right)xy^{3}$$

To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.

$$-2x^{9}y\times 5\left(-2\right)y^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$-2x^{9}y^{4}\times 5\left(-2\right)$$

Multiply -2 and 5 to get -10.

$$-10x^{9}y^{4}\left(-2\right)$$

Multiply -10 and -2 to get 20.

$$20x^{9}y^{4}$$

Differentiate w.r.t. x

$$180y^{4}x^{8}$$