<h2>
Greetings!</h2>
Answer:
B and E
Step-by-step explanation:
The rules of indicies states:
÷
= 
So
÷
=
=
So that means B is one of the correct answers.
To find the other correct value, you can divide the two fractions as stated in the question:
by
= 
81 is equivalent to 3⁴
So that means E is also correct.
<h2>Hope this helps!</h2>
Answer:
x>-5
Step-by-step explanation:
-3 from both sides
First, note that

is always positive (except for x=0), so

must be always negative.
Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.
Now,

and

are only defined for x≥0, because only for these x'es we can take the square root.
Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.
Answer: first graph
The area of a rectangle is length times width. Since a square's length is equal to its width, a square's area is equal to the length of one side times itself. So, reversed, the square root of the square's area gives the length of one side. In this case, the square root of 36 square centimeters is 6 centimeters. Again, since all four sides of a square are the same, its perimeter is equal to the length of one side times four. For a square with one side equal to 6 centimeters, the perimeter equals 24 centimeters.