Solve (-3/4a)*(8ab)+(-4/5a^2)*(-15b)-5a^2b]^3:(-5a^4b)

$$( - \frac { 3 } { 4 } a ) \cdot ( 8 a b ) + ( - \frac { 4 } { 5 } a ^ { 2 } ) \cdot ( - 15 b ) - 5 a ^ { 2 } b ] ^ { 3 } : ( - 5 a ^ { 4 } b )$$

Evaluate

$$ba^{2}$$

Solution Steps

Multiply a and a to get a^{2}.

$$-\frac{3}{4}a^{2}\times 8b-\frac{4}{5}a^{2}\left(-15\right)b-5a^{2}b$$

Multiply -\frac{3}{4} and 8 to get -6.

$$-6a^{2}b-\frac{4}{5}a^{2}\left(-15\right)b-5a^{2}b$$

Multiply -\frac{4}{5} and -15 to get 12.

$$-6a^{2}b+12a^{2}b-5a^{2}b$$

Combine -6a^{2}b and 12a^{2}b to get 6a^{2}b.

$$6a^{2}b-5a^{2}b$$

Combine 6a^{2}b and -5a^{2}b to get a^{2}b.

$$a^{2}b$$

Differentiate w.r.t. b

$$a^{2}$$