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Mathematics 20 Online
OpenStudy (anonymous):

I need help! (Drawing out the problem)

OpenStudy (anonymous):

|dw:1397094694185:dw|

ganeshie8 (ganeshie8):

write inside stuff in powers of 6

ganeshie8 (ganeshie8):

\(\huge \sqrt[6]{x^{16}}\) \(\huge \sqrt[6]{x^{6+6+4}}\)

OpenStudy (anonymous):

Oh, okay.

OpenStudy (anonymous):

What do I do after that??

ganeshie8 (ganeshie8):

Next use the product of powers property : \(\large x^{m+n} = x^m . x^n \)

ganeshie8 (ganeshie8):

\(\huge \sqrt[6]{x^{16}}\) \(\huge \sqrt[6]{x^{6+6+4}}\) \(\huge \sqrt[6]{x^6 . x^6 . x^4}\)

ganeshie8 (ganeshie8):

when u pull out x^6 from 6th root, it becomes x

ganeshie8 (ganeshie8):

\(\huge \sqrt[6]{x^{16}}\) \(\huge \sqrt[6]{x^{6+6+4}}\) \(\huge \sqrt[6]{x^6 . x^6 . x^4}\) \(\huge x.x~\sqrt[6]{ x^4}\)

ganeshie8 (ganeshie8):

whats "x" times "x" ?

OpenStudy (anonymous):

x squared?

ganeshie8 (ganeshie8):

yes, do that to the outside x's

ganeshie8 (ganeshie8):

\(\huge \sqrt[6]{x^{16}}\) \(\huge \sqrt[6]{x^{6+6+4}}\) \(\huge \sqrt[6]{x^6 . x^6 . x^4}\) \(\huge x.x~\sqrt[6]{ x^4}\) \(\huge x^2~\sqrt[6]{ x^4}\)

ganeshie8 (ganeshie8):

Now that the inside power is less than 6, we can stop. thats the final simplified form

OpenStudy (anonymous):

Thank you so much!

ganeshie8 (ganeshie8):

np :)

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