Solve 2u^4v:4u^4v^2/a^2=

$$2 u ^ { 4 } v : \frac { 4 u ^ { 4 } v ^ { 2 } } { a ^ { 2 } } =$$

Evaluate

$$\frac{a^{2}}{2v}$$

Solution Steps

Divide 2u^{4}v by \frac{4u^{4}v^{2}}{a^{2}} by multiplying 2u^{4}v by the reciprocal of \frac{4u^{4}v^{2}}{a^{2}}.

$$\frac{2u^{4}va^{2}}{4u^{4}v^{2}}$$

Cancel out 2vu^{4} in both numerator and denominator.

$$\frac{a^{2}}{2v}$$

Differentiate w.r.t. a

$$\frac{a}{v}$$