Question

The sides of a square are 5^2/5 inches long. What is the area of the square?

Answer 1

Answer: 29.16 inches square

Explanation:

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

Answer 2

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

Side of the square is given in exponential form

Side of the square =
`5^{(2)/(5)}`

Area of the square = side * side

We multiply the side twice to get the area

Area of the square =
`5^{(2)/(5)}* 5^{(2)/(5)}`

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

`5^{(2)/(5)}* 5^{(2)/(5)}`=
`5^{(2)/(5)+(2)/(5)}`

=
`5^{(4)/(5)}`

Area of the square =
`5^{(4)/(5)}`