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

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?

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Harper 8 mins 2021-11-25T11:28:47+00:00 1 Answer 0

Answers ( )

    0
    2021-11-25T11:29:55+00:00

    ANSWER

    n=5

    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

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