Respuesta :

the sides of a square are 5^2/5 inches long.

Side of the square is given in exponential form

Side of the square = [tex]5^{\frac{2}{5}}[/tex]

Area of the square = side * side

We multiply the side twice to get the area

Area of the square = [tex]5^{\frac{2}{5}}* 5^{\frac{2}{5}}[/tex]

When the exponents have same base and they are in multiplication then we add the exponents

[tex]5^{\frac{2}{5}}* 5^{\frac{2}{5}}[/tex]=  [tex]5^{\frac{2}{5}+\frac{2}{5}}[/tex]

=  [tex]5^{\frac{4}{5}}[/tex]

Area of the square = [tex]5^{\frac{4}{5}}[/tex]

Answer: 29.16 inches square

Step-by-step explanation:

5 2/5 times by 5 2/5 = 29.16 inches square