Why does zero raised to any positive power equal zero?

Question

What if you raised 0 to the power of 2?

Answer 1

Well for any $x$, $x^2=x\times x$. And so setting $x=0$, $0^2=0\times 0=0$. Alternatively you can generalise this. $$x^n=x\times x\times \cdots \times x$$ $n$ times. And for any $n>0$. Setting $x=0$ you get $0$ :). I hope this helps.