Solve 1024000*205/200*205/200

$$1024000 \times \frac{ 205 }{ 200 } \times \frac{ 205 }{ 200 }$$

Evaluate

$$1075840$$

Solution Steps

Multiply \frac{205}{200} and \frac{205}{200} to get \left(\frac{205}{200}\right)^{2}.

$$1024000\times \left(\frac{205}{200}\right)^{2}$$

Reduce the fraction \frac{205}{200} to lowest terms by extracting and canceling out 5.

$$1024000\times \left(\frac{41}{40}\right)^{2}$$

Calculate \frac{41}{40} to the power of 2 and get \frac{1681}{1600}.

$$1024000\times \frac{1681}{1600}$$

Express 1024000\times \frac{1681}{1600} as a single fraction.

$$\frac{1024000\times 1681}{1600}$$

Multiply 1024000 and 1681 to get 1721344000.

$$\frac{1721344000}{1600}$$

Divide 1721344000 by 1600 to get 1075840.

$$1075840$$

Factor

$$2^{7}\times 5\times 41^{2}$$