SOLUTION: Hi I am working on this problem. The section is on solving square root and other radical equations. How do you do this? (16x^8)^-0.75 thank you

Algebra ->  Rational-functions -> SOLUTION: Hi I am working on this problem. The section is on solving square root and other radical equations. How do you do this? (16x^8)^-0.75 thank you      Log On


   

Question 126314: Hi I am working on this problem. The section is on solving square root and other radical equations.
How do you do this?
(16x^8)^-0.75
thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%2816x%5E8%29%5E-0.75
:
The reciprocal will get rid of the negative exponent
1%2F%28%2816x%5E8%29%5E0.75%29
:
When raising one power to another power multiply the exponents:
1%2F%2816%5E.75x%5E%288%2A.75%29%29
:
1%2F%2816%5E.75x%5E6%29
:
Change the decimal exponent to a fraction
1%2F%2816%5E%283%2F4%29x%5E6%29
:
The 4th root of 16 is 2
1%2F%282%5E3x%5E6%29
:
1%2F%288x%5E6%29