$\"\"$

The standard form of a power function $\"f\\left$ or $\"f\\left$ , where $\"a\"$ is a real constant and $\"n\"$ is a natural number.

$\"\"$

The function passes through the points $\"\\left$ and $\"\\left$ .

Substitute the point $\"(x,$ in $\"f\\left$ .

$\"\\\\\\$

Substitute the point $\"(x,$ in $\"f\\left$ .

$\"\\\\\\$

Substitute $\"a=\\frac{2}{3}\"$ in $\"a=\\frac{(-\\frac{1}{2})^{n}}{24}\"$ .

$\"\\\\\\frac{2}{3}=\\frac{(-\\frac{1}{2})^{n}}{24}\\\\$

$\"\\\\\\left$

Substitute $\"a=\\frac{2}{3}\"$ and $\"n=-4\"$ in $\"f\\left$ .

$\"\\\\f\\left$

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

$\"\"$

The power function is $\"f\\left$ .