Solve x^{4}y^{5}z^{4}y^2z^4xy^2z^3

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

Evaluate

$$x^{5}y^{9}z^{11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

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

To multiply powers of the same base, add their exponents. Add 5 and 2 to get 7.

$$x^{5}y^{7}z^{4}z^{4}y^{2}z^{3}$$

To multiply powers of the same base, add their exponents. Add 7 and 2 to get 9.

$$x^{5}y^{9}z^{4}z^{4}z^{3}$$

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$x^{5}y^{9}z^{8}z^{3}$$

To multiply powers of the same base, add their exponents. Add 8 and 3 to get 11.

$$x^{5}y^{9}z^{11}$$

Differentiate w.r.t. x

$$5x^{4}y^{9}z^{11}$$