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((a^9)/(a^r))^pxx((a^r)/(a^p))^qxx((a^p)...

`((a^9)/(a^r))^pxx((a^r)/(a^p))^qxx((a^p)/(a^q))^r=1`

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Prove that : ((a^q)/(a^r))^p xx((a^r)/(a^p))^qxx((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)

On simplification (a^p/a^q)^(p+q) xx(a^q/a^r)^(q+r)xx(a^r/a^p)^(r+p) yeilds

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

.prove that (a^(p+q))^(2)(a^(q+r))^(2)(a^(r+p))^(2)/((a^(p)*a^(q)*a^(r))^(4))=1

Simply (a^(p)/a^(q))^(p+q-r).(a^(q)/a^(r ))^(q+r-p).(a^(r )/a^(p))^(r+p-q)

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

The roots of the equation (q-r)x^2+(r-p)x+p-q=0 are (A) (r-p)/(q-r),1 (B) (p-q)/(q-r),1 (C) (q-r)/(p-q),1 (D) (r-p)/(p-q),1

The roots of the equation (q-r)x^2+(r-p)x+p-q=0 are (A) (r-p)/(q-r),1 (B) (p-q)/(q-r),1 (C) (q-r)/(p-q),1 (D) (r-p)/(p-q),1