Solve (-2/3a^5b^3c^4):(-3/4bc)=

$$( - \frac { 2 } { 3 } a ^ { 5 } b ^ { 3 } c ^ { 4 } ) : ( - \frac { 3 } { 4 } b c ) =$$

Evaluate

$$\frac{8b^{2}c^{3}a^{5}}{9}$$

Solution Steps

Cancel out bc in both numerator and denominator.

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

Divide -\frac{2}{3}b^{2}c^{3}a^{5} by -\frac{3}{4} by multiplying -\frac{2}{3}b^{2}c^{3}a^{5} by the reciprocal of -\frac{3}{4}.

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

Multiply -\frac{2}{3} and 4 to get -\frac{8}{3}.

$$\frac{-\frac{8}{3}b^{2}c^{3}a^{5}}{-3}$$

Divide -\frac{8}{3}b^{2}c^{3}a^{5} by -3 to get \frac{8}{9}b^{2}c^{3}a^{5}.

$$\frac{8}{9}b^{2}c^{3}a^{5}$$

Differentiate w.r.t. a

$$\frac{40b^{2}c^{3}a^{4}}{9}$$