$0^n = 0$

Number Theory Level 2

True or false:

$0^n = 0$ for all non-negative integers $n$ .

False True

2 solutions

Md Mehedi Hasan
Nov 5, 2017

Non negative integers mean, $n$ could be $0,1,2,3,4,5,......$

But for all $n>0$ we find $0^n=0$

Only $n=0$ , $0^n=0^0=\color{#D61F06}{undefined}$

So the ans should be $\boxed{False}$

Edwin Gray
Jan 28, 2019

o^0 is undefined. Ed Gray