SOLUTION: root13(root7(x)) =

Algebra ->  Radicals -> SOLUTION: root13(root7(x)) =       Log On


   

Question 610006: root13(root7(x)) =
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
root%2813%2C+root%287%2C+x%29%29
It is easier to see the answer if you replace the radicals with fractional exponents. A 7th root is equivalent to an exponent of 1/7:
root%2813%2C+x%5E%281%2F7%29%29
and a 13th root is equivalent to an exponent of 1/13:
%28x%5E%281%2F7%29%29%5E%281%2F13%29
The exponent rule for a power of a power is to multiply the exponents:
x%5E%28%28%281%2F7%29%2A%281%2F13%29%29%29
x%5E%281%2F91%29
Now we can revert back to radical form:
root%2891%2C+x%29