Solve 2000{left(1+4/100right)}^2

$$2000 { \left(1+ \frac{ 4 }{ 100 } \right) }^{ 2 }$$

Evaluate

$$\frac{10816}{5}=2163.2$$

Solution Steps

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

$$2000\left(1+\frac{1}{25}\right)^{2}$$

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

$$2000\times \left(\frac{26}{25}\right)^{2}$$

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

$$2000\times \frac{676}{625}$$

Multiply 2000 and \frac{676}{625} to get \frac{10816}{5}.

$$\frac{10816}{5}$$

Factor

$$\frac{2 ^ {6} \cdot 13 ^ {2}}{5} = 2163\frac{1}{5} = 2163.2$$