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Which of the following represents the expression 18(9^x) rewritten in the form F x G^(2x+2)?

A 2 x 2^(2x+2)

 

B 3 x 2^(2x+2)

 

C 2 x 3^(2x+2)

 

D 3 x 3^(2x+2)

 

I know the answer is c, but i got that from the caculator. I dont know how to do it without one. Can someone kindly explain it to me? Thank you.

 Aug 6, 2018
 #1
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You got it right!

 

C)  2 x 3^(2x+2). This can be written like this:

      2 x 3^(2x) x 3^2

      2 x 3^2 x 3^(2x)

      2 x 9 x (3^2)^x

      18     x    9^x

    =  18(9^x)

 Aug 6, 2018
 #2
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Thanks man! Really helps!

Guest Aug 6, 2018

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