Solve 2(16/25)^2-1

$$2 ( \frac { 16 } { 25 } ) ^ { 2 } - 1$$

Evaluate

$$-\frac{113}{625}=-0.1808$$

Solution Steps

Calculate \frac{16}{25} to the power of 2 and get \frac{256}{625}.

$$2\times \frac{256}{625}-1$$

Express 2\times \frac{256}{625} as a single fraction.

$$\frac{2\times 256}{625}-1$$

Multiply 2 and 256 to get 512.

$$\frac{512}{625}-1$$

Convert 1 to fraction \frac{625}{625}.

$$\frac{512}{625}-\frac{625}{625}$$

Since \frac{512}{625} and \frac{625}{625} have the same denominator, subtract them by subtracting their numerators.

$$\frac{512-625}{625}$$

Subtract 625 from 512 to get -113.

$$-\frac{113}{625}$$

Factor

$$-\frac{113}{625} = -0.1808$$