# Mind Blowing exponents

It is given that $$[y^2]=11$$ and $$[y^3]=41$$, where $$y$$ is a real number and $$[x]$$ is the largest integer smaller than or equal to $$x$$.

Find the number of possible values of $$[y^6]$$.

Note: This question is taken from The Hong Kong Youth Mathematical Challenge 2014.

×