Answer:
A
Step-by-step explanation:
The expression [tex]81^\frac{1}{3}[/tex] has a fractional exponent. Fractional exponents represent radical expressions. The base of the fraction is the index of the radical while the the numerator is the exponent of the base.
[tex]81^\frac{1}{3} = \sqrt[3]{81}[/tex]
However, this can be simplified further using radical rules: 81 = 3*3*3*3. So, the expression becomes:
[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]
