+0  
 
0
38
2
avatar+2046 

Please help asap

RainbowPanda  Oct 23, 2018
 #1
avatar+90969 
+2

I like to convert to exponential form  and work with that

We can convert back to radical form at the last

 

Note that  ∛  =  exponent (1/3)

 

( 15x)^(1/3) *  (9x^3)^(1/3)  =

 

( 145 x^4)^(1/3)

 

Note  ......(145)^(1/3)  =  (5 * 3^3 )^(1/3)  =  5^(1/3) * (3^3)^(1/3)  =

5^(1/3)  *  3        (1)

 

Also.....note how to simplify  ( x^4)^(1/3)  =  x^(4/3)

Make  4/3  a mixed number  =  1 + 1/3

So  we have  x^(1 + 1/3)  = x^(1) * (x)^(1/3)   =  x * (x)^(1/3)   (2)

 

So...putting (1)  and (2) together, we have

 

3 * x *  (5)^(1/3) * (x)^)1/3)  =

 

3x ∛ [ 5 x ] 

 

 

cool cool cool

CPhill  Oct 24, 2018
edited by CPhill  Oct 24, 2018
 #2
avatar+90969 
+2

(4r^3)^(1/3)  *  (5r^3)^(1/3)  = 

 

[ 4 * 5] ^(1/3) *  [ r^3 * r^3 ]^(1/3)  = 

 

[ 20 r^6 ] ^(1/3)  =

 

[20]^(1/3)  *  (r^6)^(1/3)  =

 

20^(1/3) *  r^2  =

 

r^2 ∛ 20

 

 

cool cool cool

CPhill  Oct 24, 2018

15 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.