Solve (4/5a^2b)(-1/5bc^2)(-10a)

$$( \frac { 4 } { 5 } a ^ { 2 } b ) ( - \frac { 1 } { 5 } b c ^ { 2 } ) ( - 10 a )$$

Evaluate

$$\frac{8a^{3}\left(bc\right)^{2}}{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{4}{5}a^{3}b\left(-\frac{1}{5}\right)bc^{2}\left(-10\right)$$

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

$$\frac{4}{5}a^{3}b^{2}\left(-\frac{1}{5}\right)c^{2}\left(-10\right)$$

Multiply \frac{4}{5} and -\frac{1}{5} to get -\frac{4}{25}.

$$-\frac{4}{25}a^{3}b^{2}c^{2}\left(-10\right)$$

Multiply -\frac{4}{25} and -10 to get \frac{8}{5}.

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

Differentiate w.r.t. c

$$\frac{16cb^{2}a^{3}}{5}$$