Solve 4y^4/5z^3*10z^4/12y^3

$$\frac { 4 y ^ { 4 } } { 5 z ^ { 3 } } \times \frac { 10 z ^ { 4 } } { 12 y ^ { 3 } }$$

Evaluate

$$\frac{2yz}{3}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{4y^{4}}{5z^{3}}\times \frac{5z^{4}}{6y^{3}}$$

Multiply \frac{4y^{4}}{5z^{3}} times \frac{5z^{4}}{6y^{3}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4y^{4}\times 5z^{4}}{5z^{3}\times 6y^{3}}$$

Cancel out 2\times 5y^{3}z^{3} in both numerator and denominator.

$$\frac{2yz}{3}$$

Differentiate w.r.t. z

$$\frac{2y}{3}$$