Question

(10) ^0 =

Answer 1

It has everything to do with a rule for powers: a^b / a^c = a^(b-c).
E.g. 10^5 / 10^2 = 1-^(5-2) = 10^3.

If you want the rule to hold always, then you must define what 10^0 means.
This is not difficult, because:

10^3 / 10^3 = 10^(3-3) = 10^0.
But: if you divide two numbers that are equal, you get 1.

So : 10^0=1

Answer 2

Second line should read:
E.g. 10^5 / 10^2 = 10^(5-2) = 10^3.

Answer 3

YW!

Answer 4

Thanks! another one?

Answer 5

\[\frac{ 5^{5} }{ 5^{2} }\]

Answer 6

@satellite73 can you help ?
i think it's \[5^{4}\]