Solve x3/xquad23/xquad4x

$$x \frac { 3 } { x } \quad 2 \frac { 3 } { x } \quad 4 x$$

Evaluate

$$72$$

Solution Steps

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

$$x^{2}\times \frac{3}{x}\times 2\times \frac{3}{x}\times 4$$

Multiply \frac{3}{x} and \frac{3}{x} to get \left(\frac{3}{x}\right)^{2}.

$$x^{2}\times \left(\frac{3}{x}\right)^{2}\times 2\times 4$$

To raise \frac{3}{x} to a power, raise both numerator and denominator to the power and then divide.

$$x^{2}\times \frac{3^{2}}{x^{2}}\times 2\times 4$$

Multiply 2 and 4 to get 8.

$$x^{2}\times \frac{3^{2}}{x^{2}}\times 8$$

Cancel out x^{2} and x^{2}.

$$3^{2}\times 8$$

Calculate 3 to the power of 2 and get 9.

$$9\times 8$$

Multiply 9 and 8 to get 72.

$$72$$

Factor

$$2^{3}\times 3^{2}$$