Solve 5^2-(7/5)^2

$$5 ^ { 2 } - ( \frac { 7 } { 5 } ) ^ { 2 }$$

Evaluate

$$\frac{576}{25}=23.04$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$25-\left(\frac{7}{5}\right)^{2}$$

Calculate \frac{7}{5} to the power of 2 and get \frac{49}{25}.

$$25-\frac{49}{25}$$

Convert 25 to fraction \frac{625}{25}.

$$\frac{625}{25}-\frac{49}{25}$$

Since \frac{625}{25} and \frac{49}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{625-49}{25}$$

Subtract 49 from 625 to get 576.

$$\frac{576}{25}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {2}}{5 ^ {2}} = 23\frac{1}{25} = 23.04$$