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W0lf93
A perfect square is the product when a number is multiplied to itself. Hence,the square of (3x4) is (3 x 4 x 3 x 4). We can rearrange this and have (3 x 3) x (4 x 4) which gives you 9 x 16. Thus, we have the perfect square of (3x4) re-written as (9 x 16). Thus, the answer is D: 9 x 16.

Answer:

The correct option is C.

Step-by-step explanation:

The given term is 3x⁴.

We have to find the perfect square of 3x⁴.

[tex](3x^4)^2=3^2\times (x^4)^2[/tex]               [tex][\because (ab)^x=a^xb^x][/tex]

[tex](3x^4)^2=9\times x^{4(2)}[/tex]            [tex][\because (a^x)y=a^{xy}[/tex]

[tex](3x^4)^2=9\times x^8[/tex]

[tex](3x^4)^2=9x^8[/tex]

The perfect square of given expression is [tex]9x^8[/tex].

Therefore option C is correct.

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