(a^3b)^2 • 4ab^3
a^6b • 4ab^3
4a^6b+1b^3
Answer:
18
Step-by-step explanation:
First choose the president. From the 4 people, everyone can be the president except Dan, so there are 3 choices.
Then, choose the treasurer. Neither Bob nor Dan can be the treasurer so there are only 2 choices.
Now choose the secretary. Cyd is the only person who can't take this position, so there are 3 choices.
We are asked by the number of ways of choosing the 3 officers. Using the product rule, this is equal to 3×2×3=18.
Answer: FIRST OPTION.
Step-by-step explanation:
For this exercise it is important to remember a property called "Quotient of Powers property".
By definition the Quotient of Powers property states the following:

You can observe the division of
and
. Since both have the same base "a" , you must rewrite the base and subtract the exponents "m" and "n".
In this case, you have the following expression given in the exercise:

Then, you need to apply the Quotient of Powers property rewriting the base 4 and subtracting the exponents 12 and 5.
Therefore, you get the following result:

You can notice that it matches with the first option.