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OpenStudy (anonymous):
I need help! (Drawing out the problem)
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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??
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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" ?
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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!
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ganeshie8 (ganeshie8):
np :)
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