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Simplify the expression

0 votes

Simplify the expression (4x + 22x) / (2x)

asked Oct 23, 2018 in STATISTICS by anonymous

1 Answer

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(4^x + 2^2x) / (2^x)  =   [ (2^2)^x + 2^2x) ] / (2^x) 

                                =   [ (2^2x + 2^2x) ] / (2^x)  

                                =   [ 2(2^2x) ] / (2^x)  

                                =   [ 2^(2x + 1) ] / (2^x)  

                                =   2^[ (2x + 1) - x ]

                                =   2^(x + 1)

Answer :

(4^x + 2^2x) / (2^x)  =  2^(x + 1).

answered Oct 23, 2018 by homeworkhelp Mentor

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