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Mathematics 16 Online
OpenStudy (anonymous):

Need Help Simplifying

OpenStudy (anonymous):

\[32^\frac{ 4 }{ 5 }\]

OpenStudy (anonymous):

This problem confuses me once it turns into a radical

OpenStudy (anonymous):

\[\sqrt[5]{32^4}\]

OpenStudy (rizags):

what does 32 equal in terms of 2 to a power?

OpenStudy (rizags):

in other words, find x in this: \[\huge 2^x=32\]

OpenStudy (anonymous):

4

OpenStudy (rizags):

no its 5

OpenStudy (rizags):

but anyway. Now you have to simplify this:\[\huge (2^5)^\frac{4}{5}\]

OpenStudy (anonymous):

Okay so I got 2^4 which then equal 16? @Rizags

OpenStudy (rizags):

yes

OpenStudy (anonymous):

okay one more

OpenStudy (anonymous):

\[64^\frac{ 2 }{ 3 }\]

OpenStudy (anonymous):

\[\sqrt[3]{64^2}\]

OpenStudy (anonymous):

what is the first step

OpenStudy (rizags):

rewrite 64 in power of 2

OpenStudy (anonymous):

\[2^6=64\]

OpenStudy (anonymous):

Okay I get it now 16 is the answer

OpenStudy (anonymous):

Thanks for helping me @Rizags

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