Solve (2x)^2/2*4/(4x)^2

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Expand \left(2x\right)^{2}.

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

Calculate 2 to the power of 2 and get 4.

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

Divide 4x^{2} by 2 to get 2x^{2}.

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

Expand \left(4x\right)^{2}.

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

Calculate 4 to the power of 2 and get 16.

$$2x^{2}\times \frac{4}{16x^{2}}$$

Express 2\times \frac{4}{16x^{2}} as a single fraction.

$$\frac{2\times 4}{16x^{2}}x^{2}$$

Cancel out 2\times 4 in both numerator and denominator.

$$\frac{1}{2x^{2}}x^{2}$$

Express \frac{1}{2x^{2}}x^{2} as a single fraction.

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

Cancel out x^{2} in both numerator and denominator.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$