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| Question 32253:  need to solve for an "X" exponent:      2 (x power) = 1/4
 I know the answer but dont know how to show it by solving it algebracially
 Answer by ikdeep(226)
      (Show Source): 
You can put this solution on YOUR website! 2 (x power) = 1/4 2^x = (1/2)^2.........here ^2 and ^x means power
 now, take reciprocal or RHS ,,,,and you would know that when we take reciprocal,,the sign of its power changes ,,,so here we get...
 2^x = (2)^-2
 as the bases are same so they would be eliminated and we get......
 x = -2
 Now if you want to verify you answer ,,,you can put the values of x in the given equation and if you get LHS = RHS,,,this means that you answer is correct..
 Hope this will help you
 Please feel free to revert back for any further queries.
 
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