Solve 6/3x*3x*3x*3x

$$\frac { 6 } { 3 x \times 3 x \times 3 x \times 3 x }$$

Evaluate

$$\frac{2}{27x^{4}}$$

Solution Steps

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

$$\frac{6}{3x^{2}\times 3\times 3x\times 3x}$$

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

$$\frac{6}{3x^{3}\times 3\times 3\times 3x}$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\frac{6}{3x^{4}\times 3\times 3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{6}{9x^{4}\times 3\times 3}$$

Multiply 9 and 3 to get 27.

$$\frac{6}{27x^{4}\times 3}$$

Multiply 27 and 3 to get 81.

$$\frac{6}{81x^{4}}$$

Differentiate w.r.t. x

$$-\frac{8}{27x^{5}}$$