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ok, i need to simplyfy this and show all working: 3^3 / sqrt3^5
 3 years ago
 3 years ago
ok, i need to simplyfy this and show all working: 3^3 / sqrt3^5
 3 years ago
 3 years ago

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BecomeMyFan=DBest ResponseYou've already chosen the best response.0
\[3^{3}\div \sqrt{3^{5}}\]
 3 years ago

nowheremanBest ResponseYou've already chosen the best response.0
You should use \[\sqrt{x} = x^{\frac{1}{2}}\]
 3 years ago

nowheremanBest ResponseYou've already chosen the best response.0
use power rules, and \[\frac{x}{y} = x\cdot y^{1}\]
 3 years ago

nowheremanBest ResponseYou've already chosen the best response.0
You do have the same bases there, so all you need no know then is what \[x^a \cdot x^b\] is
 3 years ago

BecomeMyFan=DBest ResponseYou've already chosen the best response.0
oh, so it will be like \[3^{3(1/5)}\] right?
 3 years ago

nowheremanBest ResponseYou've already chosen the best response.0
nearly, but: \[\left( x^a \right) ^b = x^{a\cdot b} \]
 3 years ago

dindatcBest ResponseYou've already chosen the best response.0
\[\sqrt{3^{5}} = 3^{1/5} . so you get 3^{3}/ \]
 3 years ago

dindatcBest ResponseYou've already chosen the best response.0
hence that will be \[3^{31/5}\]
 3 years ago

nowheremanBest ResponseYou've already chosen the best response.0
that is exactly the mistake! \[ \sqrt{3^5} = \left( 3^5 \right)^{\frac{1}{2}}\]
 3 years ago

dindatcBest ResponseYou've already chosen the best response.0
oh no i think i get it wrong. that should be 3^5/2
 3 years ago

nowheremanBest ResponseYou've already chosen the best response.0
And just for completeness, \[x^{\frac{1}{5}} = \sqrt[5]{x} \]
 3 years ago

dindatcBest ResponseYou've already chosen the best response.0
the answer is \[\sqrt{3}\] right?
 3 years ago

BecomeMyFan=DBest ResponseYou've already chosen the best response.0
duc, how do you get sqrt3?
 3 years ago

BecomeMyFan=DBest ResponseYou've already chosen the best response.0
I know the answere, but I dont know how to get to the answer
 3 years ago

BecomeMyFan=DBest ResponseYou've already chosen the best response.0
ok, guys, i appreciate you helping me, i just became your fan
 3 years ago

DucBest ResponseYou've already chosen the best response.0
First , You 3^5=3*3^4, so SQRT(3^5)=SQRT(3)*3^2,===>(3^3)/(SQRT(3)*3^2)=3/SQRT(3)=SQRT(3) It may be TRUE
 3 years ago
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