Question

The sides of a square aretwo to the power of four ninths inches long. What is the area of the square?

Answer 1

Since the sides of a square aretwo to the power of four ninths inches long.

Therefore, it can be written as :

The side of the square =
`2^{ (4)/(9) }`

Now, area of square = (side)*(side) =
`side^(2)`

Area, A =
`(2^{ (4)/(9) } )^(2)`

or A =
`(2^{ (4)/(9) } ) * (2^{ (4)/(9) } ) = (2)^{ (4)/(9) +(4)/(9) } = (2)^{ (8)/(9)`