Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
For this case we must find the product of the following expression:
![\sqrt [3] {5} * \sqrt {2}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B5%7D%20%2A%20%5Csqrt%20%7B2%7D)
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
We rewrite the expression using the lowest common index of 6, then:

We rewrite the terms in an equivalent way:

We rewrite the expression using the property mentioned:
![\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =](https://tex.z-dn.net/?f=%5Csqrt%20%5B6%5D%20%7B5%20%5E%202%7D%20%2A%20%5Csqrt%20%5B6%5D%20%7B2%20%5E%203%7D%20%3D)
We combine using the product rule for radicals:
![\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%7D%20%2A%20%5Csqrt%20%5Bn%5D%20%7Bb%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Bab%7D)
So:
![\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}](https://tex.z-dn.net/?f=%5Csqrt%20%5B6%5D%20%7B5%20%5E%202%20%2A%202%20%5E%203%7D%20%3D%5C%5C%5Csqrt%20%5B6%5D%20%7B25%20%2A%208%7D%20%3D%5C%5C%5Csqrt%5B6%5D%7B200%7D)
ANswer:
Option b
Answer:

Step-by-step explanation:
The lowest point in New Orleans is 8 feet below sea level.
This can be represented numerically using 
(negative sign denotes below sea level)
The highest point in Chicago is 735 feet above sea level.
This can be represented numerically using 
(positive sign denotes above sea level)
b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
⭐x=7 because
10x+65=135
10x=70
x=7
28=4y-4
32=4y
⭐y=8
I hope this helps