Question

The area of a square can be represented by the expression x^10. The side of the square can be written in the form xn. What is the value of n?

Answer 1

n=5

Step-by-step explanation

The area of a square is given by

`{l}^(2)`

where l is the length of the sides.

If the area is

`{x}^(10)`

then we can rewrite this as

`( { {x}^(5)) }^(2)`

This implies that:

`{l}^(2) = ( { {x}^(5)) }^(2)`

Hence,

`l = {x}^(5)`

Therefore n=5