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OpenStudy (anonymous):
I really need help starting this
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OpenStudy (anonymous):
\[\sqrt[3]{2h^4} \times \sqrt[3]{4h ^{16}}\]
OpenStudy (anonymous):
you could start with
\[\sqrt[3]{8h^{20}}\]
OpenStudy (anonymous):
might help since \(\sqrt[3]{8}=2\)
OpenStudy (anonymous):
I thought they were suppose to have matching exponents in order to combine them?
OpenStudy (anonymous):
not so long as the bases are the same
you are not done yet though, you need to write it in simplest radical form
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OpenStudy (anonymous):
so yeah I got 2 to the cube root of h^20. h^20 would simplify more wouldn't it?
OpenStudy (anonymous):
yes
3 goes in to 20 6 times, with a remainder of 2
\(h^6\) comes outside the radical, \(h^2\) stays inside
OpenStudy (anonymous):
So when you did that you just did 20/3 basically right?
OpenStudy (anonymous):
yeah sort of
OpenStudy (anonymous):
i guess you could say \(\frac{20}{3}=6\tfrac{2}{3}\)
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OpenStudy (anonymous):
ohhhhhhhh! ohmygod thanks so much for your help! didn't know it was that easy XD
OpenStudy (anonymous):
yw
and yes, it is that easy!
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