Question

If p and q are two natural numbers and p^q = 16, then q^pq is ............

Answer 1

`\displaystyle\ \Large\boldsymbol p^q=16 \ \ then \\\\ 1) p=2 \ ; \ q=4 \Longrightarrow q^(pq)=4^(2\cdot 4)= 4^(8)=65536 \\\\\\2) p=4 \ ; \ q=2\Longrightarrow q^(pq)=2^(4\cdot2) =256`