Evaluate each of the following.
(a) 25^{1/2}
(b) 32^{1/5}
Solution
Thus, here is what we are asking in this problem.
25^{1/2 }= ?
By using the equivalence from the definition we can rewrite this as,
? ^{2 } =25
Thus, all that we are actually asking here is what number we squared to get 25. In this case that is (hopefully) simple to get. We square 5 to get 25. Thus,
25^{1/2 }= 5
Thus what we are asking here is what number did we move up to the 5^{th} power to get 32?
32^{1/5 }= 2 because 2^{5} = 32