Hello!
To convert fraction exponents to radical form, use the formula: [tex]x^{\frac{m}{n} } = \sqrt[n]{x^{m} }[/tex].
With that formula, we can convert 9^1/2 into a radical.
[tex]9^{\frac{1}{2} [/tex] = [tex]\sqrt[2]{9^{1} }[/tex] = 3
With the fraction exponent converted and simplified, we can find the value of x.
[tex]9^{\frac{1}{2} }[/tex] × [tex]9^{\frac{1}{2} }[/tex] = 3 × 3 = 9
9 = [tex]\sqrt[x]{81}[/tex]
Using perfect squares, which are numbers multiplied by itself, the square root of 81 is 9, so therefore, x is equal to 2.
Final answer: Two
