SOLUTION: Simplify each expression: (- 64/26) ^ 1/3 (27/64) ^ -4/3 Thank you in advance.

Algebra ->  Rational-functions -> SOLUTION: Simplify each expression: (- 64/26) ^ 1/3 (27/64) ^ -4/3 Thank you in advance.       Log On


   

Question 75253: Simplify each expression:
(- 64/26) ^ 1/3
(27/64) ^ -4/3
Thank you in advance.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
#1
%28-+64%2F26%29+%5E+%281%2F3%29
%28-64%29%5E%281%2F3%29%2F%2826%29+%5E%281%2F3%29 Distribute the exponent
%28-4%29%2F%2826%29+%5E%281%2F3%29 Simplify
The expression could also look like:
%28-4%29%2F%28root+%283%2C26%29%29



#2
%2827%2F64%29+%5E+%28-4%2F3%29
%2827%29%5E%28-4%2F3%29%2F%2864%29+%5E%28-4%2F3%29 Distribute the exponent
%283%29%5E%28-4%29%2F%284%29+%5E%28-4%29 take the cube root
%284%29%5E%284%29%2F%283%29+%5E%284%29 invert the bases with negative exponents
256%2F81 Theres the simplified form.