SOLUTION: How do you solve the cuberoot of 4 divided by the 5th root of 8? Thanks

Question 307082: How do you solve the cuberoot of 4 divided by the 5th root of 8?
Thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How do you solve the cuberoot of 4 divided by the 5th root of 8?

convert to exponent form
:
4^(1/3)
-------
8^(1/5)
:
4 = 2^2 and 8 = 2^3, therefore we can write this as:
:
2^(2/3)
-------
2^(3/5)
:
like terms so we can combine the exponents;
:
2^(2/3 - 3/5) = 2^(10/15 - 9/15) = 2^(1/15)
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