Solve 1-1/left(.4right)^2

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

Evaluate

$$-5.25$$

Solution Steps

Calculate 0.4 to the power of 2 and get 0.16.

$$1-\frac{1}{0.16}$$

Expand \frac{1}{0.16} by multiplying both numerator and the denominator by 100.

$$1-\frac{100}{16}$$

Reduce the fraction \frac{100}{16} to lowest terms by extracting and canceling out 4.

$$1-\frac{25}{4}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{4}{4}-\frac{25}{4}$$

Since \frac{4}{4} and \frac{25}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-25}{4}$$

Subtract 25 from 4 to get -21.

$$-\frac{21}{4}$$

Factor

$$-5.25$$