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Answer:

[tex]12 {}^{18} \\ \\ 100\%\: correct \: answer[/tex]

B. 12^18 is the correct answer...

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The equivalent expression for the given expression from the question is  [tex]12^{18}[/tex]

  • From law of indices

  • [tex]X^2 . X^2 .X^3 = X^(2+2+3)= X^7[/tex]
  • Same principle applies.
  • we were given [tex]12^3 . 12^9 . 12^ 4 .12^2[/tex]
  • since they all have the same base, then we can sum up their powers, then we have
  • [tex]12^(3+9+2+2)[/tex]

[tex]= 12^18[/tex]

Therefore, the equivalent expression is [tex]12^{18}[/tex]

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