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 = $2^{ \frac{4}{9} }$

Now, area of square = (side)*(side) = $side^{2}$ 

Area, A = $(2^{ \frac{4}{9} } )^{2}$

or A = $(2^{ \frac{4}{9} } ) * (2^{ \frac{4}{9} } ) = (2)^{ \frac{4}{9} +\frac{4}{9} } = (2)^{ \frac{8}{9}$