SOLUTION: How do I carry the exponent to the other side? I need to find k (1+k)^3=2

Algebra ->  Algebra  -> Exponents -> SOLUTION: How do I carry the exponent to the other side? I need to find k (1+k)^3=2      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 41160: How do I carry the exponent to the other side? I need to find k
(1+k)^3=2
Answer by josmiceli(6784) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Bk%29%5E3+=+2
take the cube root of both sides
%28%281+%2B+k%29%5E3%29%5E%281%2F3%29+=+2%5E%281%2F3%29
%281+%2B+k%29%5E1+=+2%5E%281%2F3%29
1+%2B+k+=+2%5E%281%2F3%29
k+=+2%5E%281%2F3%29+-+1