$\"\"$

\

Definition of a power function :

\

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

\

$\"\"$

\

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

\

Consider $\"\"$ .

\

Rewrite the function as $\"\"$ .

\

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

\

$\"\"$

\

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

\

$\"\"$

\

From equations (1) and (2).

\

$\"\"$

\

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

\

$\"\"$

\

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

\

$\"\"$

\

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

\

The power function is $\"\"$ .