Solve (1/2*3/1)(-2/3a^2x)(-2/5a^4m)

$$( \frac { 1 } { 2 } \cdot \frac { 3 } { 1 } ) ( - \frac { 2 } { 3 } a ^ { 2 } x ) ( - \frac { 2 } { 5 } a ^ { 4 } m )$$

Evaluate

$$\frac{2mxa^{6}}{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{1}{2}\times \frac{3}{1}\left(-\frac{2}{3}\right)a^{6}x\left(-\frac{2}{5}\right)m$$

Anything divided by one gives itself.

$$\frac{1}{2}\times 3\left(-\frac{2}{3}\right)a^{6}x\left(-\frac{2}{5}\right)m$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$\frac{3}{2}\left(-\frac{2}{3}\right)a^{6}x\left(-\frac{2}{5}\right)m$$

Multiply \frac{3}{2} and -\frac{2}{3} to get -1.

$$-a^{6}x\left(-\frac{2}{5}\right)m$$

Multiply -1 and -\frac{2}{5} to get \frac{2}{5}.

$$\frac{2}{5}a^{6}xm$$

Differentiate w.r.t. x

$$\frac{2ma^{6}}{5}$$