Mathematics
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OpenStudy (anonymous):
@shamil98 can you help me with this one?? please
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OpenStudy (anonymous):
\[\sqrt[5]{8m^2n^4}*\sqrt[5]{20m^4n}\]
OpenStudy (anonymous):
\[\sqrt[5]{160m^8n^4}\]
OpenStudy (anonymous):
is that the next step
OpenStudy (shamil98):
Hmm.
OpenStudy (anonymous):
????
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OpenStudy (shamil98):
When you multiply exponents you add them..
OpenStudy (shamil98):
\[\sqrt[5]{8m^2n^4 \times 20m^4 n}\]
OpenStudy (anonymous):
ohhhhhhhhhhhh
OpenStudy (shamil98):
\[\sqrt[5]{160m^6n^5}\]
OpenStudy (anonymous):
and them simplify right???
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OpenStudy (shamil98):
Yes.
OpenStudy (shamil98):
You can only get the 5th root of 160 in this though, so what would that be?
OpenStudy (anonymous):
16mn squareroot 2m
OpenStudy (anonymous):
is that right??
OpenStudy (shamil98):
no, the m^6 and n^5
stay in
\[\sqrt[5]{m^6 n^5}\]
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OpenStudy (shamil98):
all you have to do is find
\[\sqrt[5]{160}\]
OpenStudy (anonymous):
but i thought in simplest radical form you do the exponents as well as the numbers
OpenStudy (shamil98):
well actually
\[\sqrt[5]{n^5} = n\]
OpenStudy (shamil98):
\[\sqrt[n]{a^m} \]
= a^m/n
OpenStudy (shamil98):
Luigi feel free too butt in if i'm doing this wrong .-.
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OpenStudy (anonymous):
\[16mn \sqrt{2m}\]
OpenStudy (anonymous):
where did luigi come form
OpenStudy (shamil98):
\[\sqrt[5]{160m^6 n^5} = 2n \sqrt[5]{5m^6}\]
OpenStudy (shamil98):
right?
OpenStudy (anonymous):
oh you meant the guy luigi. i thought video game luigi
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OpenStudy (luigi0210):
Sham has the right idea so far.
But \[\LARGE \sqrt[5]{m^6}=m \sqrt[5]{m}\]
OpenStudy (shamil98):
Oh.
OpenStudy (luigi0210):
Everything else is fine, nice job.
OpenStudy (shamil98):
\[2nm \sqrt[5]{5m}\]
Then.
OpenStudy (anonymous):
yup thanks luigi
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OpenStudy (luigi0210):
Anytime buds.