Solve 200*108/100*108/100*108/100

$$200 \times \frac{ 108 }{ 100 } \times \frac{ 108 }{ 100 } \times \frac{ 108 }{ 100 }$$

Evaluate

$$\frac{157464}{625}=251.9424$$

Solution Steps

Multiply \frac{108}{100} and \frac{108}{100} to get \left(\frac{108}{100}\right)^{2}.

$$200\times \left(\frac{108}{100}\right)^{2}\times \frac{108}{100}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$200\times \left(\frac{108}{100}\right)^{3}$$

Reduce the fraction \frac{108}{100} to lowest terms by extracting and canceling out 4.

$$200\times \left(\frac{27}{25}\right)^{3}$$

Calculate \frac{27}{25} to the power of 3 and get \frac{19683}{15625}.

$$200\times \frac{19683}{15625}$$

Express 200\times \frac{19683}{15625} as a single fraction.

$$\frac{200\times 19683}{15625}$$

Multiply 200 and 19683 to get 3936600.

$$\frac{3936600}{15625}$$

Reduce the fraction \frac{3936600}{15625} to lowest terms by extracting and canceling out 25.

$$\frac{157464}{625}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {9}}{5 ^ {4}} = 251\frac{589}{625} = 251.9424$$