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Mathematics 16 Online
OpenStudy (anonymous):

I need help with square and cube roots!

OpenStudy (anonymous):

OpenStudy (mathmale):

Conversion from radical form to fractional exponent form may help. Recall that \[\sqrt[3]{2}=2^{1/3}.\] Then the given double radical can be written as \[\sqrt{2^{1/3}}=(2^{1/3})^{1/2}.\] Use the appropriate rule of logs to simplify this further.

OpenStudy (anonymous):

So would it be C?

OpenStudy (mathmale):

I'd prefer that you complete the work and type your answer. I'm interested most of all in how you obtain your possible answers.

OpenStudy (anonymous):

I don't know how to find the answer. My lesson is really confusing.

OpenStudy (mathmale):

Rule:\[(a ^{b})^{c}=a ^{bc}.\] Note that bc means "the product of b and c."

OpenStudy (mathmale):

Here you have \[(2^{\frac{ 1 }{ 3 }})^{\frac{ 1 }{ 2 }}\] Please apply that rule to simplify this latest expression.

OpenStudy (mathmale):

Please take another look at the formula I gave you. In this homework problem, your a value is 1/3 and your b value is 1/2. Please use that info to finish this problem solution.

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