Question

Which is greater {1/3}^4 {1/3}^0

Answer 1

let's recall that anything raised at the 0 power, is plainly 1, with the sole exception of 0-itself, so

`\bf \left( \cfrac{1}{3} \right)^4\implies \left(\cfrac{1^4}{3^4} \right)\implies \cfrac{1}{81} \\\\\\ \left( \cfrac{1}{3} \right)^0\implies {1}~\hspace{16em}\boxed{1>\cfrac{1}{81}}`