Solve {left(1.36/2piright)}^2

$${ \left( \frac{ 1.36 }{ 2 \pi } \right) }^{ 2 }$$

Evaluate

$$\frac{289}{625\pi ^{2}}\approx 0.046850915$$

Solution Steps

To raise \frac{1.36}{2\pi } to a power, raise both numerator and denominator to the power and then divide.

$$\frac{1.36^{2}}{\left(2\pi \right)^{2}}$$

Calculate 1.36 to the power of 2 and get 1.8496.

$$\frac{1.8496}{\left(2\pi \right)^{2}}$$

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

$$\frac{1.8496}{2^{2}\pi ^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1.8496}{4\pi ^{2}}$$

Expand

$$\frac{289}{625 \pi ^ {2}} = 0.04685091531621699$$

Solution Steps

To raise \frac{1.36}{2\pi } to a power, raise both numerator and denominator to the power and then divide.

$$\frac{1.36^{2}}{\left(2\pi \right)^{2}}$$

Calculate 1.36 to the power of 2 and get 1.8496.

$$\frac{1.8496}{\left(2\pi \right)^{2}}$$

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

$$\frac{1.8496}{2^{2}\pi ^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1.8496}{4\pi ^{2}}$$