Question 43983
{{{x^6-64=0}}}
{{{x^6=64}}}
{{{x=64^(1/6)}}}
Because the power of x is an even number, there will be a positive (>0) and negative (<0) solution for x.
the solutions are x=2 or x=-2

you can check this by plotting the graph and the solutions are where the curve touches the x-axis:
{{{ graph( 300, 200, -6, 6, -10, 10, x^6-64) }}} 

I hope this helps.

P.S. I am trying to start my own mathematics homework help website.  I would be extremely grateful if you would send me your feedback on my help to adam.chapman@student.manchester.ac.uk.