Solve 196830(1-8/100)^3

$$196830 ( 1 - \frac { 8 } { 100 } ) ^ { 3 }$$

Evaluate

$$\frac{478966122}{3125}=153269.15904$$

Solution Steps

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$196830\left(1-\frac{2}{25}\right)^{3}$$

Subtract \frac{2}{25} from 1 to get \frac{23}{25}.

$$196830\times \left(\frac{23}{25}\right)^{3}$$

Calculate \frac{23}{25} to the power of 3 and get \frac{12167}{15625}.

$$196830\times \frac{12167}{15625}$$

Multiply 196830 and \frac{12167}{15625} to get \frac{478966122}{3125}.

$$\frac{478966122}{3125}$$

Factor

$$\frac{2 \cdot 3 ^ {9} \cdot 23 ^ {3}}{5 ^ {5}} = 153269\frac{497}{3125} = 153269.15904$$