Q. 63.8( 19 Votes )

# If a = xy^{p–1}, b = xy^{q–1} and c = xy^{r–1}, then let us show that a^{q–r} b^{r–p} c^{p–q} = 1.

Answer :

Given, a = xy^{p–1}, b = xy^{q–1} and c = xy^{r–1}

Now, LHS = a^{q–r} b^{r–p} c^{p–q}

=

= )

=

=

= x^{0} × y^{0} = 1 × 1 = 1 = RHS

Therefore, LHS = RHS

Hence, proved.

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