Question

Find the value of $\left[\right\{(a^3{)}^{-3}{\}}^0{]}^{100}$.

Answer 1

${\left[{\left\{{\left(a^3\right)}^{-3}\right\}}^0\right]}^{100}={\left[{\left\{a^{-9}\right\}}^0\right]}^{100}[\because {\left(a^m\right)}^n=a^{mn}]={\left[a^0\right]}^{100}=1^{100}=1.$