Simplify the equation #(12^x+1)/(6^(2x)+3^x)#?

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Answer 1 · 2016-08-07T07:09:51

#(12^x+1)/(6^(2x)+3^x)=1/3^x#

This is not an equation but a function of #x# and you can simplify it as follows:

#(12^x+1)/(6^(2x)+3^x)#

= #(12^x+1)/((6^2)^x+3^x)#

= #(12^x+1)/((36)^x+3^x)#

= #(12^x+1)/((3xx12)^x+3^x)#

= #(12^x+1)/((3^x xx12^x+3^x)#

= #(12^x+1)/(3^x(12^x+1)#

= #1/3^x#