Question

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Simplify the square root of four over the cubed root of four.

four raised to the five sixths power
four raised to the one sixth power
four raised to the three halves power
four raised to the one third power

Answer 1

Answer: four raised to the one third power

Step-by-step explanation:

According to the written description, we have the following expression:

$\sqrt{\frac{4}{\sqrt[3]{4}}}$

Which can also be written as:

$(\frac{4}{4^{\frac{1}{3}}})^{\frac{1}{2}}$

Let's work with this, taking into account the rules of multiplication and division of power with the same base:

$(4^{1-\frac{1}{3}} )^{\frac{1}{2}}=(4^{\frac{2}{3}})^{\frac{1}{2}}$

Multiplying the exponents:

$4^{\frac{1}{3}}$ This is read as "four raised to the one third power"

Answer 2

Answer:

The answer is B

Step-by-step explanation:

If you need an explanation just text me I'll be happy to help but you said you just needed an answer so im just doing this quickly.  You do FLVS too?

I got it right on the test i just took it algebra 1