Solve {left(1.00/2piright)}^2

$${ \left( \frac{ 1.00 }{ 2 \pi } \right) }^{ 2 }$$

Evaluate

$$\frac{1}{4\pi ^{2}}\approx 0.025330296$$

Solution Steps

To raise \frac{1}{2\pi } to a power, raise both numerator and denominator to the power and then divide.

$$\frac{1^{2}}{\left(2\pi \right)^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{1}{\left(2\pi \right)^{2}}$$

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

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

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{4\pi ^{2}}$$