The simplest radical form of the expression is 
.
<h3>What is the simplification of power indices?</h3>
When we have indices in the form 
, we are going to find the cube root of the (ax)². This can be mathematically expressed as:
![\mathbf{=(\sqrt[3]{ax})^2 }](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7Bax%7D%29%5E2%20%7D)
From the given information:
![\mathbf{=(\sqrt[3]{8x^55y^3} } )^2](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7B8x%5E55y%5E3%7D%20%7D%20%29%5E2)
![\mathbf{=(\sqrt[3]{40x^5y^3} } )^2](https://tex.z-dn.net/?f=%5Cmathbf%7B%3D%28%5Csqrt%5B3%5D%7B40x%5E5y%5E3%7D%20%7D%20%29%5E2)
![= (\sqrt[3]{40x^5} \times \sqrt[3]{y}^3)^2](https://tex.z-dn.net/?f=%3D%20%28%5Csqrt%5B3%5D%7B40x%5E5%7D%20%5Ctimes%20%20%5Csqrt%5B3%5D%7By%7D%5E3%29%5E2)
Learn more about indices here:
brainly.com/question/170984
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Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
A vertical asymptote is what you get when you try to divide by 0. To find where you get these, you need to look at the denominator and what values of x will make the denominator equal to 0.
In your denominator, you have (x+7)(x-5)(x-3).
What values of x makes (x+7)(x-5)(x-3)=0?
If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.
Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.
So the short version: Asymptotes happen when you try to divide by zero. Dividing by zero is not a good thing. So you just ask yourself, “What will make the denominator 0?”
( 1 ,2) is in first quadrant
(-1,2) is in second
(-1,-2) is in the third
( 1, -2) is in 4th quadrant
So what we do first is find out the cost per foot which is 305÷154=1.9805194805194805195
Then we find out the area of the second rug which is 288 feet and multiply that by the cost 1.9805194805194805195. We then get 1.9805194805194805195x288=570.38961038961038961
