Question

so 10 to power of zero is zero

Answer 1

Anything to the power zero is one.

EXCEPT zero to the zero, that is NOT DEFINED.

Answer 2

how can ten to (0) power equal 1

Answer 3

It just does.

Answer 4

It is defined that anything to the zero power is one. We can derive it from the quotient rules for powers:

\[\huge \frac{x^a}{x^b}=x^{a-b}\]

So let x = 10, and let a = b (so that a - b = 0).

\[\huge 1=\frac{10^4}{10^4}=10^{4-4}=10^0=1\]

:)