X^2=81^1*1/2 Find x

Solution:
1. Start with the equation:
X^2 = 81^{\frac{1}{2}}

2. Recognize that 81^{\frac{1}{2}} is the square root of 81:
81^{\frac{1}{2}} = \sqrt{81}

3. Calculate the square root of 81:
\sqrt{81} = 9

4. Substitute back into the equation:
X^2 = 9

5. Solve for X by taking the square root of both sides:
X = \pm \sqrt{9}

6. Simplify the result:
X = \pm 3

7. Thus, the solutions for X are:
X = 3 and X = -3