<h3>
Answer: 3^15</h3>
Work Shown:
3^12 * 27
3^12 * 3^3
3^(12+3)
3^15
I used the rule a^b*a^c = a^(b+c) on the third step.
Answer:

Explanation:
Group Like Terms:
= 
Combine Similar Elements: 
= 
Combine Similar Elements: 
= 
////// Mordancy \\
<h3>
Answers:</h3>

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Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is
with k = 2. So we can say the more specific dilation rule is 
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
- V = (-2, -1)
- W = (-2, 2)
- X = (0, 2)
- Y = (3, -1)
will dilate to the corresponding image points
- V ' = (-4, -2)
- W ' = (-4, 4)
- X ' = (0, 4)
- Y ' = (6, -2)
as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
Answer:
The volume of a cylinder:

Step-by-step explanation:
To find the volume of a cylinder, you need the this formula:

-Use the given height and radius for the formula:

-Then, solve the formula:




So, the volume of a cylinder is approximately
.
(4*10,000)+(8*1,000)+(2*100)+(4*10)+(3*1)
40,000+8,000+200+40+3=48,243
That is one way. You can also do this using exponential form!
Hope that helps