Doubt in Timed Medium Test (Greg) I Sample#8

[user3528]

Hi! 2 foundational doubts from this question-

1. The 1st property of exponents displayed below is valid also if there are >1 same bases in this example, like 2 and 3 - and we can basically equate through corresponding same base?
   
   

2. Is the converse of this true? Example- x^a= y^a - in this case, it would be incorrect to deduce that x=y right?

[cylverixxx]

@user3528

The 1st property of exponents displayed below is valid also if there are >1 same bases in this example, like 2 and 3 - and we can basically equate through corresponding same base?

Only if the bases are coprime to each other

@user3528

Is the converse of this true? Example- x^a= y^a - in this case, it would be incorrect to deduce that x=y right?

Yes

[user3528]

Noted, thank you so much for the prompt response!