Question

★ CONTENT QUALITY SUPPORT REQUIRED ★

★ STANDARD QUESTION 38 ★

The answer with highest efficiency will get marked THE Brainliest , And will be offered an special invitation card

Question is -

Two positive integers a and b are such that
$a + b = \frac{a}{b} + \frac{b}{a}$
Evaluate aⁿ + bⁿ


This question needs a perfect answer ; and it doesn't support lazy ones ! Take care

Answer 1

Hello!

Thanks for this question, I am glad to answer it!
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a+b=a/b+b/a

The only number which can equate the both sides is only and only '1'

so,

1+1= 1/1+1/1
2=2

Now, we got the values of 'a' and 'b' that is 1.

Now,

a^n + b^n
1^n+1^n= 2

1 raise to the power of any number is always 1. So, we got the answer as 2.
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Hopefully it's right!