Which expression is equivalent to (a^2 b^4 c)^2 (6a^3 b) (2c^5)^3/ 4a^6 b^12 c^3? A. 3ac^7/b^5 B. 9ac^14/b^3 C. 12ac^14/b^3 D. 9ac^7/ b^5

yikes

Step-by-step explanation:

i think it is a

Step-by-step explanation:

Let's suppose you start with 1L of lemonade and 1L of ice tea in different containers. And also supose that the cup has dimensions for 0.1L.

If you put 0.1 L of the tea and put it in the lemonade, then you have:

0.9 L of tea in container 1, and 1L of lemonade + 0.1L of tea on container 2.

then, the container 2 has 1.1L of a mixture, where 1/1.1 = 0.909, so the solution has a 90.9% of lemonade, and a 9.1% of ice tea.

if the distribution is homogeneous, when the kid the kid takes 0.1L of this mixture, then the 0.1L is: 0.0909L of lemonade, and 0.0091L of ice tea.

this means that in container 1 you will have:

0.9L of tea + 0.00091L of tea + 0.0909L of lemonade

so: 0.90091 L of tea and 0.0909L of lemonade.

In container 2 you will have 1L of lemonade - 0.0909 L of lemonade and +0.1L of tea - 0.0091L of tea

this is:  0.9091L of lemonade, and 0.0909L of tea

So the amount of tea in the lemonade is the same as the amount of lemonade in the tea.