Solve 0.1left(1.32div100right)^2/1-(1.32div100)

$$\frac{ 0.1 { \left(1.32 \div 100 \right) }^{ 2 } }{ 1-(1.32 \div 100) }$$

Evaluate

$$\frac{1089}{61675000}\approx 0.000017657$$

Solution Steps

Expand \frac{1.32}{100} by multiplying both numerator and the denominator by 100.

$$\frac{0.1\times \left(\frac{132}{10000}\right)^{2}}{1-\frac{1.32}{100}}$$

Reduce the fraction \frac{132}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{0.1\times \left(\frac{33}{2500}\right)^{2}}{1-\frac{1.32}{100}}$$

Calculate \frac{33}{2500} to the power of 2 and get \frac{1089}{6250000}.

$$\frac{0.1\times \frac{1089}{6250000}}{1-\frac{1.32}{100}}$$

Multiply 0.1 and \frac{1089}{6250000} to get \frac{1089}{62500000}.

$$\frac{\frac{1089}{62500000}}{1-\frac{1.32}{100}}$$

Expand \frac{1.32}{100} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{1089}{62500000}}{1-\frac{132}{10000}}$$

Reduce the fraction \frac{132}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{1089}{62500000}}{1-\frac{33}{2500}}$$

Subtract \frac{33}{2500} from 1 to get \frac{2467}{2500}.

$$\frac{\frac{1089}{62500000}}{\frac{2467}{2500}}$$

Divide \frac{1089}{62500000} by \frac{2467}{2500} by multiplying \frac{1089}{62500000} by the reciprocal of \frac{2467}{2500}.

$$\frac{1089}{62500000}\times \frac{2500}{2467}$$

Multiply \frac{1089}{62500000} and \frac{2500}{2467} to get \frac{1089}{61675000}.

$$\frac{1089}{61675000}$$

Factor

$$\frac{3 ^ {2} \cdot 11 ^ {2}}{2467 \cdot 2 ^ {3} \cdot 5 ^ {5}} = 1.7657073368463718 \times 10^{-5}$$