Simplify: cube root of 5 over fourth root of 5

Question

anonymous · Answer

I really don't understand how to answer it.

campbell_st · Answer

rewrite them in index notation

5^(1/3)   and 5^(1/4)

use the index law for division which means subtract the powers..

anonymous · Answer

Right, I understand, but when I do this, it does not give me the answer to any of the choices. :/

anonymous · Answer

Could you show me how you would solve it?

anonymous · Answer

I'm sorry if I'm asking for too much, I'm having a hard time w/ Algebra.

campbell_st · Answer

ok... so what did you get when you subtracted the powers..?

anonymous · Answer

I got...either -1 or 1. :/ I'm sorry, like I wrote, I'm not so good at Algebra.

anonymous · Answer

Wait a burger flipping second. I put the 3 and 4 into this structure 1/3 and 1/4. THEN I find the least common denominator, which would be 12. So, then I subtract 4/12 - 3/12 and get 1/12 and the answer would be 5 1/12. Correct?

campbell_st · Answer

well the power is 1/3 - 1/4 = 1/12

so the answer would be 5^(1/12)

or the 12th root of 5