SOLUTION: I want to know if I did this right: (The 15th root of (the fourth root of(x^3))) First thing I did is changed it to: (x^(3/4))^(1/15) Next, using exponent rules, I mult

Algebra ->  Square-cubic-other-roots -> SOLUTION: I want to know if I did this right: (The 15th root of (the fourth root of(x^3))) First thing I did is changed it to: (x^(3/4))^(1/15) Next, using exponent rules, I mult      Log On


   

Question 728530: I want to know if I did this right:
(The 15th root of (the fourth root of(x^3)))
First thing I did is changed it to:
(x^(3/4))^(1/15)
Next, using exponent rules, I multiplied: x^(3/60)
Then put back into simplified radical, (the 60th root of (x^3))
Not sure how you would write that on here.. maybe (60rt(x^3))
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
(The 15th root of (the fourth root of(x^3))) 
root%2815%2Croot%284%2Cx%5E3%29%29%22%22=%22%22





matrix%282%2C2%2C%22%22%2C%22%22%2C%0D%0A%0D%0Ax%5E%283%2F60%29%2C%22%22=%22%22%29%0D%0A You got this far.  Now what you do is reduce the
fraction exponent 3%2F60 to lowest terms 1%2F20:

matrix%282%2C2%2C%22%22%2C%22%22%2C%0D%0A%0D%0Ax%5E%281%2F20%29%2C%22%22=%22%22%29%0D%0A 

Then you get this back into a root:

root%2820%2Cx%29

Edwin