Yeah exponents!

Algebra Level 2

( a b ) + ( b a ) = 343 (a^b) + (b^a) = 343

what do you get if you do : 2 ( a + b ) 2(a+b) ?


The answer is 686.

J Preethi Cheenu by j preethi cheenu , 23, India

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1 solution

J Preethi Cheenu
Nov 29, 2015

1 to the power anything is just 1. anything to the power 1 is the same thing. use this idea.... a=1;b=342; a^b=1^342=1

b^a=342^1=342

you should do 2(a+b): 2(342+1)=2(343)=686

the answer to the question is ....686!

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Is this the correct approach?

Debmeet Banerjee - 5 years, 6 months ago

Can you be sure that there are no other possible values of a and b? Perhaps your question should specify that a and b are both positive integers.

Dan Ley - 4 years, 7 months ago

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