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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