SOLUTION: root13(root7(x)) =

Algebra.Com
Question 610006: root13(root7(x)) =
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

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:

and a 13th root is equivalent to an exponent of 1/13:

The exponent rule for a power of a power is to multiply the exponents:


Now we can revert back to radical form:

RELATED QUESTIONS

root7(x)(root7(x^(55))-root7(x^(41)))= (answered by jsmallt9)
if x= root7/ 5 and 5/x = p root7 , then find the value of p (answered by Boreal)
(2+square root7)squared (answered by kagenoshi)
simplify the following quotents 12 squareroot 56 divided by 3 square root7 (answered by ewatrrr)
Evaluate the following: a)log125base5... (answered by ankor@dixie-net.com)
please help me solve: if tan(beta) =2/3 and sec(beta) = sq root13/3 find all 6 trig... (answered by lwsshak3)
I am in need of help Simplify: sqaure root7*square root14 and also evaluate 3... (answered by Nate)
GIVEN {-5,-10,1/4,1,7,11.6,SQUARE ROOT7 AND 3PIE, LIST THE NUMBERS IN THIS SET THAT ALSO... (answered by rapaljer)
Very stumped on how to do this problem... any help would be greatly appreciated!! In a (answered by nyc_function)