Question

Simplify: ${\{\frac{a^{p-q}}{\sqrt[q]{q{a}^{q^2-pq}}}\times a^{2(q-p)}\}}^n$

Answer 1

${\{\frac{a^{p-q}}{\sqrt[q]{q{a}^{q^2-pq}}}\times a^{2(q-p)}\}}^n$ $={\left\{\frac{a^{(p-q+2q-2p)}}{a^{\frac{q^2-pq}{q}}}\right\}}^n$

$={\left\{\frac{a^{(q-p)}}{a^{(q-p)}}\right\}}^n$

$=1$