Algebra Dilemma

Algebra Level 2

Let A and B be both non-zero positive integers. This is a fact below containing the variables A and B. A and B are different. 

                Aᵇ   =   Bª

If this fact is true, What is Aª.Bᵇ ( the dot means "multiplied by")


The answer is 1024.

Prakash Kallanmarthodi by Prakash Kallanmarthodi , 44, United Kingdom

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1 solution

Only numbers which represent the fact is 2 and 4

2⁴ = 4²

So 2² x 4⁴ (4 x 256) is 1024.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Wait you never said that A ≠ B A\ne B , so ( A , B ) = ( 1 , 1 ) (A, B)=(1, 1) works right?

hi bye - 1 year, 8 months ago

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He said they are different

Zhong Si Wei - 1 year, 8 months ago

It could have been added after I commented.

hi bye - 1 year, 8 months ago

( 1 , 1 ) can be possible, so I added the statement " A and B are different."

Prakash Kallanmarthodi - 1 year, 8 months ago

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