Solve 24x^{6}y^{2}z^3div(-12x^3yz^2)div(-5x^2yz)

$$24 x ^ { 6 } y ^ { 2 } z ^ { 3 } \div ( - 12 x ^ { 3 } y z ^ { 2 } ) \div ( - 5 x ^ { 2 } y z )$$

Evaluate

$$\frac{2x}{5}$$

Solution Steps

Express \frac{\frac{24x^{6}y^{2}z^{3}}{-12x^{3}yz^{2}}}{-5x^{2}yz} as a single fraction.

$$\frac{24x^{6}y^{2}z^{3}}{-12x^{3}yz^{2}\left(-5\right)x^{2}yz}$$

Cancel out 12yyzx^{2}z^{2}x^{3} in both numerator and denominator.

$$\frac{2x}{-5\left(-1\right)}$$

Multiply -5 and -1 to get 5.

$$\frac{2x}{5}$$

Differentiate w.r.t. x

$$\frac{2}{5} = 0.4$$