Answer:
[tex]\sqrt[2]{8}[/tex]
Step-by-step explanation:
Remember the basic format of a fraction raised to a fractional exponent:
[tex]a^\frac{b}{c}=\sqrt[b]{a^c}[/tex]
Some terms to keep in mind are the following:
(a) is the base
(c) is the exponent
(b) is the index
Apply this information to the given problem:
[tex]2^\frac{3}{2}[/tex]
In this case, (2) is the base, and the index; (3) is the exponent. Apply the general format of the fraction exponent to change the expression from an exponent to a radical.
[tex]2^\frac{3}{2}=\sqrt[2]{2^3}[/tex]
Simplify the term under the radical:
[tex]\sqrt[2]{2^3}=\sqrt[2]{8}[/tex]
