Question

Help please please help me please

Answer 1

Answer:

$\sqrt[2]{8}$

Step-by-step explanation:

Remember the basic format of a fraction raised to a fractional exponent:

$a^\frac{b}{c}=\sqrt[b]{a^c}$

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:

$2^\frac{3}{2}$

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.

$2^\frac{3}{2}=\sqrt[2]{2^3}$

Simplify the term under the radical:

$\sqrt[2]{2^3}=\sqrt[2]{8}$