Solve 55.000(1+.16/2)^4

$$55.000 ( 1 + \frac { .16 } { 2 } ) ^ { 4 }$$

Evaluate

$$74.8268928$$

Solution Steps

Expand \frac{0.16}{2} by multiplying both numerator and the denominator by 100.

$$55\left(1+\frac{16}{200}\right)^{4}$$

Reduce the fraction \frac{16}{200} to lowest terms by extracting and canceling out 8.

$$55\left(1+\frac{2}{25}\right)^{4}$$

Add 1 and \frac{2}{25} to get \frac{27}{25}.

$$55\times \left(\frac{27}{25}\right)^{4}$$

Calculate \frac{27}{25} to the power of 4 and get \frac{531441}{390625}.

$$55\times \frac{531441}{390625}$$

Multiply 55 and \frac{531441}{390625} to get \frac{5845851}{78125}.

$$\frac{5845851}{78125}$$

Factor

$$\frac{11 \cdot 3 ^ {12}}{5 ^ {7}} = 74\frac{64601}{78125} = 74.8268928$$