The expression $32^{\frac{1}{2}}$ is asking for the square root of 32.

To simplify:

$32^{\frac{1}{2}} = \sqrt{32}$

The number 32 can be factored as:

$32 = 16 \times 2$

So:

$\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4 \sqrt{2}$

Therefore, $32^{\frac{1}{2}} = 4\sqrt{2}$.

Would you like more details or explanations?

Here are five related questions:

1. What is $64^{\frac{1}{2}}$?
2. How do you simplify cube roots like $27^{\frac{1}{3}}$?
3. What is the decimal approximation of $4\sqrt{2}$?
4. How would you calculate $32^{\frac{3}{2}}$?
5. How do fractional exponents work for negative bases?

Tip: Fractional exponents can be interpreted as roots, where the denominator of the fraction indicates the root and the numerator indicates the power.