Answer:

Step-by-step explanation:
So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.
Add like terms:
![[\frac{8x^9}{2x}]^5](https://tex.z-dn.net/?f=%5B%5Cfrac%7B8x%5E9%7D%7B2x%7D%5D%5E5)
Divide by 2x (divide coefficient by 2, subtract coefficient degrees)
![[4x^8]^5](https://tex.z-dn.net/?f=%5B4x%5E8%5D%5E5)
Multiply exponents and raise 4 to the power of 5

The reason you multiply exponents is because you can think about it like this:
(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially
(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) * (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40
Answer:


Step-by-step explanation:
<u>First, Let's solve for x in -2x+2y=-4:</u>

<u>Subtract 2y from both sides:</u>


<u>Divide both sides by -2:</u>


<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>

→ let x=2+y

<u>Simplify:</u>

<u>Now, let's solve for y in 6+6y=-18</u>

<u>Subtract 6 from both sides:</u>


<u>Divide both sides by 6:</u>


<u>Now, substitute y=-4 into x=2+y:</u>

→ let y = -4


Therefore, x=-2 and y=-4.
<u>_____________________________________</u>
To solve this problem, we must divide the number of movies that Jenny thought were very good by the total number of movies she watched. This is because we are finding a percentage, which represents a part out of a whole that have a factor, which in this case is very good movies. First, we begin by dividing 44/55. Then, we realize that both the numerator and the denominator are divisible by 11, so if we divided them both by 11 that would simplify the fraction.
44/55 = 44/11 / 55/11 = 4/5
Next, we can now easily divide our simplified fraction.
4/5 = 0.8
Finally, we must multiply by 100, because a percentage is a portion of 100 (the total is 100%). This is equivalent to moving the decimal point two places to the right.
0.8 * 100 = 80%
Therefore, Jenny thinks that 80% of the movies she watched this year were very good.
Hope this helps!
Step-by-step explanation:
You can imagine this figure as a rectangle and cube
If you want volume of this irregular figure than you have to do it like this:
V(figure)= V(rectangle)+ V(cube)
V(figure)= a*b*c+ a³
V(figure)= 4*3*(I don't see dimension on the left)+ 3³
V(figure)=12*(I don't see dimension on the left)+ 27
And only you have to to do is to set this dimension which I can't see.