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(4x^3)^1/5=(216)^1/5

 Nov 19, 2014

Best Answer 

 #1
avatar+130511 
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(4x^3)^1/5=(216)^1/5   for this to be true, it is evident that 4x^3 must = 216

So we have

4x^3 = 216     divide both sides by 4

x^3 = 54         take the cube root of both sides

x = 3√54 = 3√(27*2) =  (3) 3√2

 

 Nov 19, 2014
 #1
avatar+130511 
+5
Best Answer

(4x^3)^1/5=(216)^1/5   for this to be true, it is evident that 4x^3 must = 216

So we have

4x^3 = 216     divide both sides by 4

x^3 = 54         take the cube root of both sides

x = 3√54 = 3√(27*2) =  (3) 3√2

 

CPhill Nov 19, 2014

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