Solve 1/2*(frac{sqrt{3}}{2})^2

$$\frac { 1 } { 2 } \times ( \frac { \sqrt { 3 } } { 2 } ) ^ { 2 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

To raise \frac{\sqrt{3}}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{1}{2}\times \frac{\left(\sqrt{3}\right)^{2}}{2^{2}}$$

Multiply \frac{1}{2} times \frac{\left(\sqrt{3}\right)^{2}}{2^{2}} by multiplying numerator times numerator and denominator times denominator.

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

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

$$\frac{\left(\sqrt{3}\right)^{2}}{2^{3}}$$

The square of \sqrt{3} is 3.

$$\frac{3}{2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$