Solve pi{left(2/3right)}^2*{left(5/2right)}^2

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

Evaluate

$$\frac{25\pi }{9}\approx 8.72664626$$

Solution Steps

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\pi \times \frac{4}{9}\times \left(\frac{5}{2}\right)^{2}$$

Calculate \frac{5}{2} to the power of 2 and get \frac{25}{4}.

$$\pi \times \frac{4}{9}\times \frac{25}{4}$$

Multiply \frac{4}{9} times \frac{25}{4} by multiplying numerator times numerator and denominator times denominator.

$$\pi \times \frac{4\times 25}{9\times 4}$$

Cancel out 4 in both numerator and denominator.

$$\pi \times \frac{25}{9}$$