Solve 22/7{left(55/2right)}^2120

$$\frac{ 22 }{ 7 } { \left( \frac{ 55 }{ 2 } \right) }^{ 2 } 120$$

Evaluate

$$\frac{1996500}{7}\approx 285214.285714286$$

Solution Steps

Calculate \frac{55}{2} to the power of 2 and get \frac{3025}{4}.

$$\frac{22}{7}\times \frac{3025}{4}\times 120$$

Multiply \frac{22}{7} times \frac{3025}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 3025}{7\times 4}\times 120$$

Do the multiplications in the fraction \frac{22\times 3025}{7\times 4}.

$$\frac{66550}{28}\times 120$$

Reduce the fraction \frac{66550}{28} to lowest terms by extracting and canceling out 2.

$$\frac{33275}{14}\times 120$$

Express \frac{33275}{14}\times 120 as a single fraction.

$$\frac{33275\times 120}{14}$$

Multiply 33275 and 120 to get 3993000.

$$\frac{3993000}{14}$$

Reduce the fraction \frac{3993000}{14} to lowest terms by extracting and canceling out 2.

$$\frac{1996500}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {3} \cdot 11 ^ {3}}{7} = 285214\frac{2}{7} = 285214.28571428574$$