It is given that y is directly proportional to x raise to power n and write down the value of n when y metre square is area of a square of length x metre

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Answer:

The correct answer is 2.

Step-by-step explanation:

Given y is directly proportional to x raised to the power n.

⇒ y [tex]\alpha[/tex] [tex]x^{n}[/tex]

⇒ y = p × [tex]x^{n}[/tex] with p being the constant of proportion.

Let y be the area of a square of side x meters.

Therefore y = [tex]x^{2}[/tex] square meters.

Now according to the given problem, comparing both the above mentioned equation we get the value of n equal to 2.