$\"\"$

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Definition of a power function :

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Power function of the form $\"\"$ , where $\"\"$ is a real constant and $\"\"$ is a natural number.

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$\"\"$

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The graph of the power function passes through the points $\"\"$ and $\"\"$ .

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Consider $\"\"$ .

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Rewrite the function as $\"\"$ .

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Since the function passes through the point $\"\"$ , substitute $\"\"$ in the above function.

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$\"\"$

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Since the function passes through the point $\"\"$ , substitute $\"\"$ in the above function.

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$\"\"$

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From equations (1) and (2).

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$\"\"$ .

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Let $\"\"$ ,

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$\"\"$

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Since the above statement is true, the value of $\"\"$ .

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Substitute the value of $\"\"$ in equation (1).

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$\"\"$

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Substitute the values of $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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Thus, the power function is $\"\"$ or $\"\"$ . $\"\"$

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The power function is $\"\"$ or $\"\"$ .