Respuesta :
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.