Solve (6x^2)*(2/x)^2

$$( 6 x ^ { 2 } ) \times ( \frac { 2 } { x } ) ^ { 2 }$$

Evaluate

$$24$$

Solution Steps

To raise \frac{2}{x} to a power, raise both numerator and denominator to the power and then divide.

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

Express 6\times \frac{2^{2}}{x^{2}} as a single fraction.

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

Calculate 2 to the power of 2 and get 4.

$$\frac{6\times 4}{x^{2}}x^{2}$$

Multiply 6 and 4 to get 24.

$$\frac{24}{x^{2}}x^{2}$$

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

$$24$$

Factor

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