I need help! (Drawing out the problem)
|dw:1397094694185:dw|
write inside stuff in powers of 6
\(\huge \sqrt[6]{x^{16}}\) \(\huge \sqrt[6]{x^{6+6+4}}\)
Oh, okay.
What do I do after that??
Next use the product of powers property : \(\large x^{m+n} = x^m . x^n \)
\(\huge \sqrt[6]{x^{16}}\) \(\huge \sqrt[6]{x^{6+6+4}}\) \(\huge \sqrt[6]{x^6 . x^6 . x^4}\)
when u pull out x^6 from 6th root, it becomes x
\(\huge \sqrt[6]{x^{16}}\) \(\huge \sqrt[6]{x^{6+6+4}}\) \(\huge \sqrt[6]{x^6 . x^6 . x^4}\) \(\huge x.x~\sqrt[6]{ x^4}\)
whats "x" times "x" ?
x squared?
yes, do that to the outside x's
\(\huge \sqrt[6]{x^{16}}\) \(\huge \sqrt[6]{x^{6+6+4}}\) \(\huge \sqrt[6]{x^6 . x^6 . x^4}\) \(\huge x.x~\sqrt[6]{ x^4}\) \(\huge x^2~\sqrt[6]{ x^4}\)
Now that the inside power is less than 6, we can stop. thats the final simplified form
Thank you so much!
np :)
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