Question

How do I answer this question

Answer 1

The answer is C. 2.

This is because the part that is inside of the parentheses is equal to 4. Multiplying the fractions in the numerator is equal to $4^\frac{3}{2}$.

$\frac{4^\frac{3}{2}}{4^\frac{1}{2}}=4.$, using the exponential rule 3/2-1/2=2/2 or 1. 4^1=4.

Now, we reduced the fraction, so all that is left is $(4)^\frac{1}{2}$. This is equal to 2.

So your answer is 2.

I hope this helps :)

Answer 2

$(\frac{(4^{\frac{5}{4}})(4^{\frac{1}{4}})}{4^{\frac{1}{2}})^{\frac{1}{2}}$

$(\frac{(4^{\frac{6}{4}}}}{4^{\frac{1}{2}}})^{\frac{1}{2}}$

$({4^{\frac{4}{4}})^{\frac{1}{2}}$

$({4^{1})^{\frac{1}{2}}$

$4^{\frac{1}{2}}$

$2$