Solve (10x^3yz^2)(-2xy^5z)

$$( 10 x ^ { 3 } y z ^ { 2 } ) ( - 2 x y ^ { 5 } z )$$

Evaluate

$$-20z^{3}x^{4}y^{6}$$

Solution Steps

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

$$10x^{4}yz^{2}\left(-2\right)y^{5}z$$

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

$$10x^{4}y^{6}z^{2}\left(-2\right)z$$

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

$$10x^{4}y^{6}z^{3}\left(-2\right)$$

Multiply 10 and -2 to get -20.

$$-20x^{4}y^{6}z^{3}$$

Differentiate w.r.t. x

$$-80y^{6}\left(xz\right)^{3}$$