SOLUTION: Can someone please explain to me how 32^(4/5) equals 16. This is dealing with rational exponents and I am not sure nor can I figure it out how they came up with 16. What are the s

Algebra ->  Radicals -> SOLUTION: Can someone please explain to me how 32^(4/5) equals 16. This is dealing with rational exponents and I am not sure nor can I figure it out how they came up with 16. What are the s      Log On


   

Question 190884This question is from textbook
: Can someone please explain to me how 32^(4/5) equals 16. This is dealing with rational exponents and I am not sure nor can I figure it out how they came up with 16.
What are the steps to come up with this answer?
ANy help at all would be greatly appreciated. This question is from textbook

Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given expression


%28root%285%2C32%29%29%5E4 Convert to radical notation


Note: and . I'm using the second identity.


%282%29%5E4 Take the 5th root of 32 to get 2. Remember, since 2%5E5=32, this means that root%285%2C32%29=2


16 Raise 2 to the 4th power to get 16


So

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the rule:



So:



Now you can either start punching buttons on your calculator, or just realize that and to be able to write:




John