Solve 200/3,6*200/3,6

$$\frac { 200 } { 3,6 } \times \frac { 200 } { 3,6 }$$

Evaluate

$$\frac{250000}{81}\approx 3086,419753086$$

Solution Steps

Multiply \frac{200}{3,6} and \frac{200}{3,6} to get \left(\frac{200}{3,6}\right)^{2}.

$$\left(\frac{200}{3,6}\right)^{2}$$

Expand \frac{200}{3,6} by multiplying both numerator and the denominator by 10.

$$\left(\frac{2000}{36}\right)^{2}$$

Reduce the fraction \frac{2000}{36} to lowest terms by extracting and canceling out 4.

$$\left(\frac{500}{9}\right)^{2}$$

Calculate \frac{500}{9} to the power of 2 and get \frac{250000}{81}.

$$\frac{250000}{81}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {6}}{3 ^ {4}} = 3086\frac{34}{81} = 3086.41975308642$$