+0  
 
0
47
2
avatar+272 

Use the laws of exponents to simplify each of the following. Give your answer using only positive exponets.

 

2^2/3     2^-5/4

 Jan 18, 2019
 #1
avatar+95884 
+1

 

 

 

2^(2/3) =  (2^2)^(1/3)  = (4)^(1/3) 

 

2^(-5/4)

 

Note that this is  (2/1)^(-5/4)

 

We can "flip" the fraction and make the exponent positive.....so we have

 

(1/2)^(5/4)  =   [(1/2)^5 ] ^(1/4)   =  [ 1/32 ]^(1/4)   

 

 

The last answer might also be simplified as    [ (1/16) (1/2) ]  ^(1/4)  =  

 

(1/16)^(1/4) * (1/2)^(1/4) =

 

(1/2)* (1/2)^(1/4)

 

cool cool cool

 Jan 18, 2019

17 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.