Solve 455625{left(1-8/100right)}^-2

$$455625 { \left(1- \frac{ 8 }{ 100 } \right) }^{ -2 }$$

Evaluate

$$\frac{284765625}{529}\approx 538309.310018904$$

Solution Steps

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

$$455625\left(1-\frac{2}{25}\right)^{-2}$$

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

$$455625\times \left(\frac{23}{25}\right)^{-2}$$

Calculate \frac{23}{25} to the power of -2 and get \frac{625}{529}.

$$455625\times \frac{625}{529}$$

Multiply 455625 and \frac{625}{529} to get \frac{284765625}{529}.

$$\frac{284765625}{529}$$

Factor

$$\frac{3 ^ {6} \cdot 5 ^ {8}}{23 ^ {2}} = 538309\frac{164}{529} = 538309.3100189036$$