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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?

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ANSWER

n=5

EXPLANATION

The area of a square is given by

[tex] {l}^{2} [/tex]

where l is the length of the sides.

If the area is

[tex] {x}^{10} [/tex]

then we can rewrite this as

[tex]( { {x}^{5}) }^{2} [/tex]

This implies that:

[tex] {l}^{2} = ( { {x}^{5}) }^{2} [/tex]

Hence,

[tex]l = {x}^{5}[/tex]

Therefore n=5

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