Solve 5/4*6x3frac{2x3xxx{}}

$$\frac{ 5 }{ 4 \times 6x 3 \frac { 2x3xxx } { } }$$

Evaluate

$$\frac{5}{48x_{3}^{2}x^{3}}$$

Solution Steps

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

$$\frac{5}{4\times 6x_{3}\times \frac{2x_{3}x^{2}x}{1}}$$

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

$$\frac{5}{4\times 6x_{3}\times \frac{2x_{3}x^{3}}{1}}$$

Multiply 4 and 6 to get 24.

$$\frac{5}{24x_{3}\times \frac{2x_{3}x^{3}}{1}}$$

Anything divided by one gives itself.

$$\frac{5}{24x_{3}\times 2x_{3}x^{3}}$$

Multiply 24 and 2 to get 48.

$$\frac{5}{48x_{3}x_{3}x^{3}}$$

Multiply x_{3} and x_{3} to get x_{3}^{2}.

$$\frac{5}{48x_{3}^{2}x^{3}}$$

Differentiate w.r.t. x

$$-\frac{5}{16x_{3}^{2}x^{4}}$$