Question

Can anyone please solve this exponent​

Answer 1

Answer:

Step-by-step explanation:

=  [ x ^ ( a * 1/ab ) ] / [ x^ b* 1 / ab]  * [ x ^ ( b* 1/ bc) ] / [ x ^ ( c * 1 / bc) ]   *  

[ x ^ ( c * 1/ ac )] / [ x ^ (a * 1/ ac )]

Solving this we get:

= [( x ^ 1/b / x ^ 1 /a ) ] * [ ( x ^ 1 /c  / x ^ 1/ b )]  * [ x ^ 1 /a  /  x^ 1/c ]

by index rule { x ^ a * x ^ b  =  x ^ a + b}

= [x ^ (1 / b + 1 / c + 1 / a ) ] /  [x ^ ( 1 / a + 1/ b + 1/ c)

by using index rule again  ;  { x ^a / x ^ b = x ^ a -b }

= x ^ (1/b + 1/c + 1 / a - 1/a - 1/b - 1 /c )

= x ^ 0

= 1 . proved