Respuesta :

Answer:

D

Explanation:

If b is 3 or 9 then a^2 becomes 4*4 or 3*4*4 and a would be either 4 or 4sqrt3

and a would not be divisible by 3,6,9, nor 12

However if the question were about a^2 and b were 3 then the answer would be only 9.

The value of (a)  could be divisible by all EXCEPT (D) 9

Given that:

[tex]\mathbf{a^{2b} = 12^2}[/tex]

By comparison, we have:

[tex]\mathbf{a=12}[/tex]

[tex]\mathbf{2b=2}[/tex]

Divide both sides by 2

[tex]\mathbf{b=1}[/tex]

So, the value of a is 12, and the value of b is 1

12 is divisible by 3, 4, 6 and 12

But 12 is not divisible by 9

Hence, the true option is (D) 9

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