SOLUTION: n-th root of [32/{2^(5+n)}] I am having difficulties with this problem. Please guide me through it. Thank you.

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Question 426357: n-th root of [32/{2^(5+n)}]
I am having difficulties with this problem. Please guide me through it. Thank you.
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

The keys to this problem are:
If we were to multiply the rule for exponents would say to add the exponents. So

It works backwards, too. Your denominator is the right side of the above equation. So we can replace your denominator with the left side:

Since they cancel each other out in the fraction:

leaving:

Now we can use a property of radicals, , to split this radical:

And both of these nth roots simplify:
1/2
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