Prove that there has to be a common prime factor for the following expression to be true (or provide a counter-example):
a^x + b^y = c^z

hmm

1⁴+2³=3²
or
1+8=9
9=9
true
no common factor except 1 (but if we count 1, ther is no way we can get something with a common prime factor since all numbers have factor of 1)

counter example is
1⁴+2³=3²

Step 1: 6x-10=1; step 2: 6x=11

32.10 is the correct answer