Solve -[1-2*(4/5)^2]

$$- [ 1 - 2 \times ( \frac { 4 } { 5 } ) ^ { 2 } ]$$

Evaluate

$$\frac{7}{25}=0.28$$

Solution Steps

Calculate \frac{4}{5} to the power of 2 and get \frac{16}{25}.

$$-\left(1-2\times \frac{16}{25}\right)$$

Express 2\times \frac{16}{25} as a single fraction.

$$-\left(1-\frac{2\times 16}{25}\right)$$

Multiply 2 and 16 to get 32.

$$-\left(1-\frac{32}{25}\right)$$

Convert 1 to fraction \frac{25}{25}.

$$-\left(\frac{25}{25}-\frac{32}{25}\right)$$

Since \frac{25}{25} and \frac{32}{25} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{25-32}{25}$$

Subtract 32 from 25 to get -7.

$$-\left(-\frac{7}{25}\right)$$

The opposite of -\frac{7}{25} is \frac{7}{25}.

$$\frac{7}{25}$$

Factor

$$\frac{7}{5 ^ {2}} = 0.28$$