Solve 7w/9u^2vdiv21w^2/uv^2

$$\frac { 7 w } { 9 u ^ { 2 } v } \div \frac { 21 w ^ { 2 } } { u v ^ { 2 } }$$

Evaluate

$$\frac{v}{27uw}$$

Solution Steps

Divide \frac{7w}{9u^{2}v} by \frac{21w^{2}}{uv^{2}} by multiplying \frac{7w}{9u^{2}v} by the reciprocal of \frac{21w^{2}}{uv^{2}}.

$$\frac{7wuv^{2}}{9u^{2}v\times 21w^{2}}$$

Cancel out 7uvw in both numerator and denominator.

$$\frac{v}{3\times 9uw}$$

Multiply 3 and 9 to get 27.

$$\frac{v}{27uw}$$

Differentiate w.r.t. v

$$\frac{1}{27uw}$$