Ava45018 Ava45018
  • 11-02-2018
  • Mathematics
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cdw2014
cdw2014 cdw2014
  • 11-02-2018
If 3 = [tex]m^x[/tex], then we know 9 = [tex](m^x)^2[/tex] because 9 is 3 squared.

[tex](m^x)^2[/tex] can be simplified to [tex]m^{2x}[/tex]

So now we know [tex]9m^2[/tex] = [tex]m^{2x}[/tex]·[tex]m^2[/tex]

Since [tex]m^{2x}[/tex] and [tex]m^2[/tex] have the same base, we can express it as a single term by adding the exponents together.

So the answer is C) [tex]m^{2x+2}[/tex]
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