Solve (frac{sqrt{426}}{6})^2*pi*5*1/3

$$( \frac { \sqrt { 426 } } { 6 } ) ^ { 2 } \times \pi \times 5 \times \frac { 1 } { 3 }$$

Evaluate

$$\frac{355\pi }{18}\approx 61.959188446$$

Solution Steps

To raise \frac{\sqrt{426}}{6} to a power, raise both numerator and denominator to the power and then divide.

$$5\times \frac{\left(\sqrt{426}\right)^{2}}{6^{2}}\pi \times \frac{1}{3}$$

Multiply 5 and \frac{1}{3} to get \frac{5}{3}.

$$\frac{5}{3}\times \frac{\left(\sqrt{426}\right)^{2}}{6^{2}}\pi$$

Multiply \frac{5}{3} times \frac{\left(\sqrt{426}\right)^{2}}{6^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(\sqrt{426}\right)^{2}}{3\times 6^{2}}\pi$$

Express \frac{5\left(\sqrt{426}\right)^{2}}{3\times 6^{2}}\pi as a single fraction.

$$\frac{5\left(\sqrt{426}\right)^{2}\pi }{3\times 6^{2}}$$

The square of \sqrt{426} is 426.

$$\frac{5\times 426\pi }{3\times 6^{2}}$$

Multiply 5 and 426 to get 2130.

$$\frac{2130\pi }{3\times 6^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{2130\pi }{3\times 36}$$

Multiply 3 and 36 to get 108.

$$\frac{2130\pi }{108}$$

Divide 2130\pi by 108 to get \frac{355}{18}\pi .

$$\frac{355}{18}\pi$$

Expand

$$\frac{355 \pi}{18} = 61.959188445798695$$

Solution Steps

To raise \frac{\sqrt{426}}{6} to a power, raise both numerator and denominator to the power and then divide.

$$5\times \frac{\left(\sqrt{426}\right)^{2}}{6^{2}}\pi \times \frac{1}{3}$$

Multiply 5 and \frac{1}{3} to get \frac{5}{3}.

$$\frac{5}{3}\times \frac{\left(\sqrt{426}\right)^{2}}{6^{2}}\pi$$

Multiply \frac{5}{3} times \frac{\left(\sqrt{426}\right)^{2}}{6^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\left(\sqrt{426}\right)^{2}}{3\times 6^{2}}\pi$$

Express \frac{5\left(\sqrt{426}\right)^{2}}{3\times 6^{2}}\pi as a single fraction.

$$\frac{5\left(\sqrt{426}\right)^{2}\pi }{3\times 6^{2}}$$

The square of \sqrt{426} is 426.

$$\frac{5\times 426\pi }{3\times 6^{2}}$$

Multiply 5 and 426 to get 2130.

$$\frac{2130\pi }{3\times 6^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{2130\pi }{3\times 36}$$

Multiply 3 and 36 to get 108.

$$\frac{2130\pi }{108}$$

Divide 2130\pi by 108 to get \frac{355}{18}\pi .

$$\frac{355}{18}\pi$$