Question

If at = by = (ab)xy, then x + y =

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Answer 1

SOLUTION

Given that

$= > {a}^{x} = {b}^{y} ......(1)$

Hence, (ab)^xy

$= > {a}^{xy} . {b}^{xy} \\ \\ = > ({a}^{x} ) {}^{y} . ({b}^{y} ) {}^{x} .....(2)$

substitute (1) in (2),

$= > ( {a}^{x} ) {}^{y} .( {a}^{x} ) {}^{x} \\ = > ( {a}^{x} ) {}^{x + y} .........(3)$

from equation (1)

=) x+y= 1

hope it helps ✔️

Answer 2

Step-by-step explanation:

refer to the attachment.....