Solve 134x^{3}y^3z^3div5(xy^2z^3

$$134 x ^ { 3 } y ^ { 3 } z ^ { 3 } \div 5 ( x y ^ { 2 } z ^ { 3 }$$

Evaluate

$$\frac{134x^{4}y^{5}z^{6}}{5}$$

Solution Steps

Express \frac{134x^{3}y^{3}z^{3}}{5}x as a single fraction.

$$\frac{134x^{3}y^{3}z^{3}x}{5}y^{2}z^{3}$$

Express \frac{134x^{3}y^{3}z^{3}x}{5}y^{2} as a single fraction.

$$\frac{134x^{3}y^{3}z^{3}xy^{2}}{5}z^{3}$$

Express \frac{134x^{3}y^{3}z^{3}xy^{2}}{5}z^{3} as a single fraction.

$$\frac{134x^{3}y^{3}z^{3}xy^{2}z^{3}}{5}$$

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

$$\frac{134x^{4}y^{3}z^{3}y^{2}z^{3}}{5}$$

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

$$\frac{134x^{4}y^{5}z^{3}z^{3}}{5}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\frac{134x^{4}y^{5}z^{6}}{5}$$

Differentiate w.r.t. x

$$\frac{536x^{3}y^{5}z^{6}}{5}$$