SOLUTION: express each power asa radical,then evaluate. 4096^-5/6 I got so far =1/4096^5/6 =1

SOLUTION: express each power asa radical,then evaluate. 4096^-5/6 I got so far =1/4096^5/6 =1_ (6√4096)^5 am i close?

Question 262261: express each power asa radical,then evaluate.
4096^-5/6
I got so far =1/4096^5/6
=1_
(6√4096)^5
am i close?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Here is the problem

step 1 - we can take the 6th root of 4096 as

we can rewrite 4096 as 2^12, so we get

using rules of exponents, we get
= 4
so, is really 4.
step 2 - convert the negative into a positive as
=
expand this base to get

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