Solve 325*{left(144*2*13/200right)}^2

$$325 \times { \left( \frac{ 144 \times 2 \times 13 }{ 200 } \right) }^{ 2 }$$

Evaluate

$$\frac{2847312}{25}=113892.48$$

Solution Steps

Multiply 144 and 2 to get 288.

$$325\times \left(\frac{288\times 13}{200}\right)^{2}$$

Multiply 288 and 13 to get 3744.

$$325\times \left(\frac{3744}{200}\right)^{2}$$

Reduce the fraction \frac{3744}{200} to lowest terms by extracting and canceling out 8.

$$325\times \left(\frac{468}{25}\right)^{2}$$

Calculate \frac{468}{25} to the power of 2 and get \frac{219024}{625}.

$$325\times \frac{219024}{625}$$

Multiply 325 and \frac{219024}{625} to get \frac{2847312}{25}.

$$\frac{2847312}{25}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {4} \cdot 13 ^ {3}}{5 ^ {2}} = 113892\frac{12}{25} = 113892.48$$