Solve (4×9×11)^a: Finding the Power of a Product

Solve the following exercise:

$(4\times9\times11)^a$

We use the power law for a multiplication between parentheses:

$(z\cdot t)^n=z^n\cdot t^n$

That is, a power applied to a multiplication between parentheses is applied to each term when the parentheses are opened,

We apply it in the problem:

$(4\cdot9\cdot11)^a=4^a\cdot9^a\cdot11^a$

Therefore, the correct answer is option b.

Note:

From the power property formula mentioned, we can understand that it works not only with two terms of the multiplication between parentheses, but also valid with a multiplication between multiple terms in parentheses. As we can see in this problem.