$(3\times2\times4\times6)^{-4}=$

We use the power property for the product inside parentheses:

$(z\cdot t)^n=z^n\cdot t^n$That is, the power applied to a product inside parentheses is applied to each term of it when the parentheses are opened,

We apply the property to the problem:

$(3\cdot2\cdot4\cdot6)^{-4}=3^{-4}\cdot2^{-4}\cdot4^{-4}\cdot6^{-4}$__Therefore, the correct answer is option d.__

__Note:__

From the formula of the power property inside parentheses mentioned above, it can be understood that it refers only to two terms of the product inside parentheses, but in reality, it is also valid for the power over a multiplication of many terms inside parentheses, as was done in this problem and in other problems.

A good exercise is to demonstrate that if the previous property is valid for a power over a product of two terms inside parentheses (as formulated above), then it is also valid for a power over several terms of the product inside parentheses (for example - three terms, etc.).

$3^{-4}\times2^{-4}\times4^{-4}\times6^{-4}$