Solve (20000)*(115div100*2)*(115div100*2)

$$(20000) \times (115 \div 100 \times 2) \times (115 \div 100 \times 2)$$

Evaluate

$$105800$$

Solution Steps

Multiply \frac{115}{100} and \frac{115}{100} to get \left(\frac{115}{100}\right)^{2}.

$$20000\times \left(\frac{115}{100}\right)^{2}\times 2\times 2$$

Reduce the fraction \frac{115}{100} to lowest terms by extracting and canceling out 5.

$$20000\times \left(\frac{23}{20}\right)^{2}\times 2\times 2$$

Calculate \frac{23}{20} to the power of 2 and get \frac{529}{400}.

$$20000\times \frac{529}{400}\times 2\times 2$$

Express 20000\times \frac{529}{400} as a single fraction.

$$\frac{20000\times 529}{400}\times 2\times 2$$

Multiply 20000 and 529 to get 10580000.

$$\frac{10580000}{400}\times 2\times 2$$

Divide 10580000 by 400 to get 26450.

$$26450\times 2\times 2$$

Multiply 26450 and 2 to get 52900.

$$52900\times 2$$

Multiply 52900 and 2 to get 105800.

$$105800$$

Factor

$$2^{3}\times 5^{2}\times 23^{2}$$