Solve 32.5*{left(1.44*2*13/200right)}^2

$$32.5 \times { \left( \frac{ 1.44 \times 2 \times 13 }{ 200 } \right) }^{ 2 }$$

Evaluate

$$1.1389248$$

Solution Steps

Multiply 1.44 and 2 to get 2.88.

$$32.5\times \left(\frac{2.88\times 13}{200}\right)^{2}$$

Multiply 2.88 and 13 to get 37.44.

$$32.5\times \left(\frac{37.44}{200}\right)^{2}$$

Expand \frac{37.44}{200} by multiplying both numerator and the denominator by 100.

$$32.5\times \left(\frac{3744}{20000}\right)^{2}$$

Reduce the fraction \frac{3744}{20000} to lowest terms by extracting and canceling out 32.

$$32.5\times \left(\frac{117}{625}\right)^{2}$$

Calculate \frac{117}{625} to the power of 2 and get \frac{13689}{390625}.

$$32.5\times \frac{13689}{390625}$$

Multiply 32.5 and \frac{13689}{390625} to get \frac{177957}{156250}.

$$\frac{177957}{156250}$$

Factor

$$\frac{3 ^ {4} \cdot 13 ^ {3}}{2 \cdot 5 ^ {7}} = 1\frac{21707}{156250} = 1.1389248$$