Solve (-4x^6y)(5x^2)(-3xy^5)

$$( - 4 x ^ { 6 } y ) ( 5 x ^ { 2 } ) ( - 3 x y ^ { 5 } )$$

Evaluate

$$60y^{6}x^{9}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$-4x^{8}y\times 5\left(-3\right)xy^{5}$$

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

$$-4x^{9}y\times 5\left(-3\right)y^{5}$$

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

$$-4x^{9}y^{6}\times 5\left(-3\right)$$

Multiply -4 and 5 to get -20.

$$-20x^{9}y^{6}\left(-3\right)$$

Multiply -20 and -3 to get 60.

$$60x^{9}y^{6}$$

Differentiate w.r.t. x

$$540y^{6}x^{8}$$