Solve c^{7}a^2b^3/a^9d^8

$$c ^ { 7 } \frac { a ^ { 2 } b ^ { 3 } } { a ^ { 9 } d ^ { 8 } }$$

Evaluate

$$\frac{\left(\frac{c}{a}\right)^{7}b^{3}}{d^{8}}$$

Solution Steps

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

$$c^{7}\times \frac{b^{3}}{a^{7}d^{8}}$$

Express c^{7}\times \frac{b^{3}}{a^{7}d^{8}} as a single fraction.

$$\frac{c^{7}b^{3}}{a^{7}d^{8}}$$

Differentiate w.r.t. c

$$\frac{7b^{3}c^{6}}{a^{7}d^{8}}$$