Hi there! We are given the expression:

To condense or simplify the following logarithm. You have to remember these properties:
Properties - Logarithm

These two properties are what we need for our problem. Therefore,

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

Answer
- log base 4 of (a^5/b^6) is our simplifed form.
Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)
Answer: (8^{12})^3=8^{12\times 3}=8^{36}
Step-by-step explanation:
Given : the expression (8^{12})^3
We have to simplify the given expression and choose the correct from the given options.
Consider the expression (8^{12})^3
Using property of exponents,
\left(a^b\right)^c=a^{b\times c}
We have,
(8^{12})^3=8^{12\times 3}=8^{36}