SOLUTION: (4^-2+2^-3)^-4 Totally confused, could someone explain?

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: (4^-2+2^-3)^-4 Totally confused, could someone explain?       Log On


   

Question 59100: (4^-2+2^-3)^-4
Totally confused, could someone explain?
Answer by rcmcc(152) About Me  (Show Source):
You can put this solution on YOUR website!
%284%5E-2%2B2%5E-3%29%5E-4
this equation is the same as
%284%5E%281%2F2%29%2B2%5E%281%2F3%29%29%5E%281%2F4%29
convert these into common fractions
%28%281%2F16%29%2B%281%2F8%29%29%5E%281%2F4%29
you can simplify the answer to
%283%2F16%29%5E%281%2F4%29
now to solve, take the fraction, invert it and multiply it to the power of 4/1 that is the same as the power of 4
%2816%5E4%2F3%5E4%29
your answer is
65536%2F81