Solve (4/5)^2+(28/5)^2

$$( \frac { 4 } { 5 } ) ^ { 2 } + ( \frac { 28 } { 5 } ) ^ { 2 }$$

Evaluate

$$32$$

Solution Steps

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

$$\frac{16}{25}+\left(\frac{28}{5}\right)^{2}$$

Calculate \frac{28}{5} to the power of 2 and get \frac{784}{25}.

$$\frac{16}{25}+\frac{784}{25}$$

Since \frac{16}{25} and \frac{784}{25} have the same denominator, add them by adding their numerators.

$$\frac{16+784}{25}$$

Add 16 and 784 to get 800.

$$\frac{800}{25}$$

Divide 800 by 25 to get 32.

$$32$$

Factor

$$2^{5}$$