Solve y^2*(pi/2)^3

$$y ^ { 2 } \cdot ( \frac { \pi } { 2 } ) ^ { 3 }$$

Evaluate

$$\frac{\pi ^{3}y^{2}}{8}$$

Solution Steps

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

$$y^{2}\times \frac{\pi ^{3}}{2^{3}}$$

Express y^{2}\times \frac{\pi ^{3}}{2^{3}} as a single fraction.

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

Calculate 2 to the power of 3 and get 8.

$$\frac{y^{2}\pi ^{3}}{8}$$

Expand

$$\frac{\pi ^{3}y^{2}}{8}$$

Solution Steps

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

$$y^{2}\times \frac{\pi ^{3}}{2^{3}}$$

Express y^{2}\times \frac{\pi ^{3}}{2^{3}} as a single fraction.

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

Calculate 2 to the power of 3 and get 8.

$$\frac{y^{2}\pi ^{3}}{8}$$