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avatar+2245 

Rewrite each expression as a radical in simplest form: I need help!

 Mar 10, 2019
 #1
avatar+99441 
+3

We are using this property, GM

 

a(m/n)  =     n√[am ]

 

Also remember that    am / a n  =  a (m - n )

 

We just need to be careful about the term that the exponent is applied to

 

a)  4x1/2 =  4 * x1/2  =  4 * 2√ [ x1 ]   =  4 √x

Note that the exponent doesn't apply to the  4   !!!!

 

b)  (4x)1/2   .....note that the exponent applies to  (4x)....this is different from the first one...=

 

√[4x ]  =  2√x

 

c)   Note  x -a  =  1 / xa

 

x-2/5  =   1/ x2/5  =  1 /  5√[ x2 ]

 

 

d)  Note that   (8x3)1/3  = 81/3 * (x3)1/3    =  3√8  * x1   =  2x1

 

So....we have   

 

2x2/3        

____   =        x (2/3 - 1)  = x-1/3  =  1 / x1/3 =    1 / 3√x

  2x1

 

 

e)   a1/3

     ____               can you finish this one, GM  ?????

        a

 

 

cool cool cool

 Mar 10, 2019
 #2
avatar+2245 
+4

Alright then... Simplifying Radicals.

e.)

We get the final answer: √a

 

Is this the right way CPhill?

 

-- 7H3_5H4D0W

​​​

GAMEMASTERX40  Mar 11, 2019
edited by GAMEMASTERX40  Mar 11, 2019
edited by GAMEMASTERX40  Mar 11, 2019
 #3
avatar+100042 
0

Yes that  is correct.

Melody  Mar 13, 2019

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