If a and b are distinct positive primes such that 3√a6b−4=axb2y,find x and y.
3√a6b−4=axb2y(a6b−4)13=axb2ya63.b−43=axb2y⇒a2.b−43=ax.b2yComparing,we getax=a2⇒x=2and b−43=b2y⇒2y=−43⇒y=−43×2=−23∴x=2,y=−23
If a and b are different primes such that (i)[a−1b2a2b−4]7÷[a3b−5a−2b3]=axby,find x and y.
(ii)(a+b)−1(a−1+b−1)=axby,find x+y+2.
Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1)\) are in A×B, find A and B, where x,y,z are distinct elements.