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OpenStudy (anonymous):
What is a simpler form of the radical expression?
4^sqrt 81x^20y^8
B. 9|x^25|y^4
C.3|x^5|y^2
D. 9x^25|y^4|
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OpenStudy (agent0smith):
Can you take a screenshot? Cos i have no idea...
OpenStudy (agent0smith):
\[\Large \sqrt[4]{81x^{20} y^8}\]
OpenStudy (agent0smith):
start by writing everything in terms of powers of 4 \[\Large \sqrt[4]{3^4 (x^{5})^4 (y^2)^4}\]
OpenStudy (muzzack):
\(\huge\ 3\sqrt[4]{x^{20}y^8}\)
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OpenStudy (muzzack):
C is ur answer my dear
OpenStudy (agent0smith):
She wants to actually learn, not be given answers @Muzzack
OpenStudy (anonymous):
Yeah lol
OpenStudy (muzzack):
sorry sire
OpenStudy (muzzack):
ill leave this to you @agent0smith im terrible sorry
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OpenStudy (anonymous):
Hahahahaa its okay cx
OpenStudy (anonymous):
Okay so now what?
OpenStudy (agent0smith):
\[\Large \sqrt[4]{3^4 (x^{5})^4 (y^2)^4}\]now you can simplify... just like a square root cancels out a square, a 4th root cancels out a power of 4.
OpenStudy (anonymous):
Oh okay so 3(x)(y^2) ?
OpenStudy (anonymous):
Or is that so wrong ?
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OpenStudy (agent0smith):
Close but not quite. The only things that cancel are powers of 4
OpenStudy (anonymous):
Oh so its (x^5) right ?
OpenStudy (agent0smith):
Just write the whole expression as you did a minute ago
OpenStudy (anonymous):
Oh okay ummm 3(x^5)(y^2)?
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