I have a problem with cardinals:

k,j,l are cardinals. 0<k, k=< l

So this, I believe, should be the way to solution:

I need to prove that j^k<=j^l

so, let |a|=j, |b|=k, |c|=l

I need to prove that |a^c| >= |a^b|

( >= means larger or equal)

Now, I understand that I need to create a function from a^b to a^c and show that it is a 1-1 function.

I now that I can say that there is a function $\displaystyle f:b(to)c$ that is a 1-1 function (because i know that b<=c ), but I just can't seem to find a way to use it...

please help me with this

Thank you!~!