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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