Solve frac{b^{5}a^5}{c^4}*c/a^2b^3=

$$\frac { b ^ { 5 } a ^ { 5 } } { c ^ { 4 } } \cdot \frac { c } { a ^ { 2 } b ^ { 3 } } =$$

Evaluate

$$\left(\frac{a}{c}\right)^{3}b^{2}$$

Solution Steps

Multiply \frac{b^{5}a^{5}}{c^{4}} times \frac{c}{a^{2}b^{3}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{b^{5}a^{5}c}{c^{4}a^{2}b^{3}}$$

Cancel out ca^{2}b^{3} in both numerator and denominator.

$$\frac{b^{2}a^{3}}{c^{3}}$$

Differentiate w.r.t. a

$$\frac{3\left(ab\right)^{2}}{c^{3}}$$