Solve 9z^7w^4/11z^2/12z^3{w^7/1{w^4}}

$$\frac{ \frac{ 9 { z }^{ 7 } { w }^{ 4 } }{ 11 { z }^{ 2 } } }{ \frac{ 12 { z }^{ 3 } { w }^{ 7 } }{ 1 { w }^{ 4 } } }$$

Evaluate

$$\frac{3wz^{2}}{44}$$

Solution Steps

Divide \frac{9z^{7}w^{4}}{11z^{2}} by \frac{12z^{3}w^{7}}{1w^{4}} by multiplying \frac{9z^{7}w^{4}}{11z^{2}} by the reciprocal of \frac{12z^{3}w^{7}}{1w^{4}}.

$$\frac{9z^{7}w^{4}\times 1w^{4}}{11z^{2}\times 12z^{3}w^{7}}$$

Cancel out 3z^{2}w^{3}z^{3}w^{4} in both numerator and denominator.

$$\frac{3wz^{2}}{4\times 11}$$

Multiply 4 and 11 to get 44.

$$\frac{3wz^{2}}{44}$$

Differentiate w.r.t. w

$$\frac{3z^{2}}{44}$$