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Mathematics 16 Online
OpenStudy (anonymous):

I really need help starting this

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

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 \(\frac{20}{3}=6\tfrac{2}{3}\)

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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