Solve (-2x^3y)*(-4x^2y)*(+5xy^2)

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

Evaluate

$$40y^{4}x^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

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

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$-2x^{6}y\left(-4\right)y\times 5y^{2}$$

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

$$-2x^{6}y^{2}\left(-4\right)\times 5y^{2}$$

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

$$-2x^{6}y^{4}\left(-4\right)\times 5$$

Multiply -2 and -4 to get 8.

$$8x^{6}y^{4}\times 5$$

Multiply 8 and 5 to get 40.

$$40x^{6}y^{4}$$

Differentiate w.r.t. x

$$240y^{4}x^{5}$$