SOLUTION: Please help me out on this equation: {{{ x^(2/3) = 16 }}} I got an answer, but they were both extraneous and I want to know if I did it right.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me out on this equation: {{{ x^(2/3) = 16 }}} I got an answer, but they were both extraneous and I want to know if I did it right.      Log On


   



Question 155546: Please help me out on this equation: +x%5E%282%2F3%29+=+16+ I got an answer, but they were both extraneous and I want to know if I did it right.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x^(2/3)=16
cubertx^2=16 Cube both sides.
x^2=16^3
x^2=4096 Take the sqrt of both sides.
x=64 Answer.
Proof:
64^2/3=16
cubert64^2=16
cubert4096=16
16=16