((x^(p))/(x^(q)))^(p+q)times((x^(r))/(x^(p)))^(r+p)times((x^(q))/(x^(r)))^(q+r)=1

((a^(p))/(a^(q)))^(p+q)times((a^(q))/(a^(r)))^(q+r)times((a^(r))/(a^(p)))^(r+p)

((x^(p))/(x^(q)))^((p+q))((x^(q))/(x^(r)))^((q+r))((x^(r))/(x^(p)))^((r+p))

Evaluate : ((x^(q))/(x^(r )))^((1)/(qr))xx((x^(r ))/(x^(p)))^((1)/(rp))xx((x^(p))/(x^(q)))^((1)/(pq))

Simplify: qr sqrt((x^(q))/(x^(r)))times rp sqrt((x^(r))/(x^(p)))times pq sqrt((x^(p))/(x^(q)))

((a^(9))/(a^(r)))^(p)xx((a^(r))/(a^(p)))^(q)xx((a^(p))/(a^(q)))^(r)=1

Find the value of (a^(p)/a^(q))^(p+q-r)xx(a^(r)/a^(p))^(r+p-q)xx(a^(q)/a^(r))^(q+r-p)

x^(p-q).x^(q-r).x^(r-p)

The value of (x^(q)/x^(r))^(1/(qr)) xx (x^(r)/x^(p))^(1/(rp)) xx (x^(p)/x^(q))^(1/(pq) is equal to:

Prove root(p+q)(x^(p^(2))/(x^(q^(2))))xxroot(q+r)(x^(q^(2))/(x^(r^(2))))xxroot(r+p)(x^(r^(2))/(x^(p^(2))))=1

sqrt(x^(p-q))sqrt(x^(q-r))sqrt(x^(r-p))=1