Respuesta :

Answer:

The correct option is (b).

Step-by-step explanation:

We need to simplify the given expression i.e. [tex](\dfrac{a^4}{b^2})^3[/tex].

We know that,

[tex](\dfrac{a^4}{b^2})^3=\dfrac{(a^4)^3}{(b^2)^3}[/tex]

Also,

[tex](x^a)^b=x^{ab}[/tex]

So,

[tex]=\dfrac{a^{12}}{b^6}[/tex]

So, the correct option is (b).