Solve 1-0,4^2/(1-0,4)^2

$$\frac { 1 - 0,4 ^ { 2 } } { ( 1 - 0,4 ) ^ { 2 } }$$

Evaluate

$$\frac{25}{9}\approx 2,777777778$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\frac{1-0\times 16}{\left(1-0,4\right)^{2}}$$

Multiply 0 and 16 to get 0.

$$\frac{1-0}{\left(1-0,4\right)^{2}}$$

Subtract 0 from 1 to get 1.

$$\frac{1}{\left(1-0,4\right)^{2}}$$

Subtract 0,4 from 1 to get 0,6.

$$\frac{1}{0,6^{2}}$$

Calculate 0,6 to the power of 2 and get 0,36.

$$\frac{1}{0,36}$$

Expand \frac{1}{0,36} by multiplying both numerator and the denominator by 100.

$$\frac{100}{36}$$

Reduce the fraction \frac{100}{36} to lowest terms by extracting and canceling out 4.

$$\frac{25}{9}$$

Factor

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$