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Question
Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`
Solution
`((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`
= `(x^(q xx 1/(qr)))/( x^(r xx 1/(qr))) xx (x^(r xx 1/(rp)))/(x^(p xx 1/(rp))) xx (x^(p xx 1/(pq)))/(x^(q xx 1/(pq)))`
= `(x^(1/r))/(x^(1/q)) xx (x^(1/p))/(x^(1/r)) xx (x^(1/q))/(x^(1/p))`
= 1
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