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  • For any positive Real number x , Find the value of ( x^a /x^b)^(a+b) *(x^b /x^c )^(b + c) *(x^c /x^a )^(c + a)

For any positive Real number x , Find the value of ( x^a /x^b)^(a+b) *(x^b /x^c )^(b + c) *(x^c /x^a )^(c + a)

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Solution : We have , 

⇒   ( x^a / x^b )^( a+ b) *(x^b / x^c ) ^( b+c ) * (x^c /x^a )^( c + a)        

 we know , a^m / a^n =  a^(m - n)  and  a^m * a^n * a^p = a^( m+ n + p )

⇒   x^( a^2 - b^2 ) *  x^( b^2 - c^2 ) * x^( c^2 - a^2 )

⇒  x^0 = 1   Ans   

Posted by

Deependra Verma

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