We know how the Pythagorean Theorem works, right?
a^2 + b^2 = c^2
There are infinitely many solutions to this!
Can you find more Pythagorean triples in other powers larger than 2?
Ex) Solve for a, b, and c
a^3 + b^3 = c^3
a, b, and c must be larger than 1
Is this possible??
What about for 4th powers, or 5th powers?.. etc.