Solve 28x^{5}y^{4}z^320x^4y^2z^2

$$28 x ^ { 5 } y ^ { 4 } z ^ { 3 } 20 x ^ { 4 } y ^ { 2 } z ^ { 2 }$$

Evaluate

$$560z^{5}y^{6}x^{9}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.

$$28x^{9}y^{4}z^{3}\times 20y^{2}z^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$28x^{9}y^{6}z^{3}\times 20z^{2}$$

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

$$28x^{9}y^{6}z^{5}\times 20$$

Multiply 28 and 20 to get 560.

$$560x^{9}y^{6}z^{5}$$

Differentiate w.r.t. x

$$5040z^{5}y^{6}x^{8}$$