Solve (2/3a^{17}b^{2}c^4)div(4a^5b^2c^3)

$$( \frac { 2 } { 3 } a ^ { 17 } b ^ { 2 } c ^ { 4 } ) \div ( 4 a ^ { 5 } b ^ { 2 } c ^ { 3 } )$$

Evaluate

$$\frac{ca^{12}}{6}$$

Solution Steps

Cancel out b^{2}c^{3}a^{5} in both numerator and denominator.

$$\frac{\frac{2}{3}ca^{12}}{4}$$

Divide \frac{2}{3}ca^{12} by 4 to get \frac{1}{6}ca^{12}.

$$\frac{1}{6}ca^{12}$$

Differentiate w.r.t. c

$$\frac{a^{12}}{6}$$