BecomeMyFan=D
ok, i need to simplyfy this and show all working: 3^3 / sqrt3^5



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BecomeMyFan=D
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\[3^{3}\div \sqrt{3^{5}}\]

nowhereman
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You should use \[\sqrt{x} = x^{\frac{1}{2}}\]

BecomeMyFan=D
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how

nowhereman
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use power rules, and \[\frac{x}{y} = x\cdot y^{1}\]

nowhereman
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You do have the same bases there, so all you need no know then is what \[x^a \cdot x^b\] is

BecomeMyFan=D
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oh, so it will be like \[3^{3(1/5)}\] right?

nowhereman
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nearly, but: \[\left( x^a \right) ^b = x^{a\cdot b} \]

dindatc
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\[\sqrt{3^{5}} = 3^{1/5} . so you get 3^{3}/ \]

dindatc
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you get 3^3 / 3^1/5

Duc
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sqrt3

dindatc
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hence that will be \[3^{31/5}\]

nowhereman
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that is exactly the mistake! \[ \sqrt{3^5} = \left( 3^5 \right)^{\frac{1}{2}}\]

dindatc
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oh no i think i get it wrong. that should be 3^5/2

dindatc
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hence, its \[3^{3}\]

Duc
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My answer is true SQRT(3)

dindatc
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its 3^35/2 = 3^1/2

nowhereman
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And just for completeness, \[x^{\frac{1}{5}} = \sqrt[5]{x} \]

dindatc
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the answer is \[\sqrt{3}\] right?

BecomeMyFan=D
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duc, how do you get sqrt3?

BecomeMyFan=D
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I know the answere, but I dont know how to get to the answer

dindatc
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\[3^{35/2}\]

BecomeMyFan=D
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ok, guys, i appreciate you helping me, i just became your fan

Duc
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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

BecomeMyFan=D
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ok, thankyou

Duc
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No problem() good luck