Any nonzero number raised to the 0 power is 1.
One way to think of this is that raising to whole number powers
is multiplying the numbers that number of times.
350^1 = 350
350^2 =350 X 350
and
350^3=350 X 350 x 350
Now we know that any number times 1 equals itself
so we can write
350^1 = 1 x 350
350^2 = 1 X 350 X 350
and
350^3= 1 x 350 X 350 x 350
Now
350^0 = 1 {not multiplied by any 350's at all}
so it is just 1
Moreover we need for 350^0 to equal 1 if our rules for exponents are to
hold when we move to negative exponents.
350^ -1 = 1/350
and 350^-1 x 350^1 = 350^0
and that is (1/350) X 350 = 1