SOLUTION: Let C = 64/27. Then find C with exponent -2/3.

Algebra ->  Exponents -> SOLUTION: Let C = 64/27. Then find C with exponent -2/3.      Log On


   

Question 58280: Let C = 64/27. Then find C with exponent -2/3.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = 64/27. Then find C with exponent -2/3.
%2864%2F27%29%5E%28-2%2F3%29 Flip the fraction and change the sign of the exponent.
%2827%2F64%29%5E%282%2F3%29 Notice that 27=3^3 and 64=4^3
%283%5E3%2F%284%5E3%29%29%5E%282%2F3%29 Multiply the inner exponents by the outer exponents.
%283%5E%283%2A2%2F3%29%29%2F%284%5E%283%2A2%2F3%29%29 Cancel the 3's
3%5E2%2F4%5E2 Apply the squares
9%2F16 Pat yourself on the back your done.
Happy Calculating!!!