Solve 12800(1+4/100)^2

$$12800 ( 1 + \frac { 4 } { 100 } ) ^ { 2 }$$

Evaluate

$$\frac{346112}{25}=13844.48$$

Solution Steps

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

$$12800\left(1+\frac{1}{25}\right)^{2}$$

Add 1 and \frac{1}{25} to get \frac{26}{25}.

$$12800\times \left(\frac{26}{25}\right)^{2}$$

Calculate \frac{26}{25} to the power of 2 and get \frac{676}{625}.

$$12800\times \frac{676}{625}$$

Multiply 12800 and \frac{676}{625} to get \frac{346112}{25}.

$$\frac{346112}{25}$$

Factor

$$\frac{2 ^ {11} \cdot 13 ^ {2}}{5 ^ {2}} = 13844\frac{12}{25} = 13844.48$$