Answer:

Step-by-step explanation:
We are given an expression and we have to transform it into an expression with exponent.
5th root of x can be written as 
![(\sqrt[5]{x^7})^3\\\\((x^7)^\frac{1}{5} )^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7Bx%5E7%7D%29%5E3%5C%5C%5C%5C%28%28x%5E7%29%5E%5Cfrac%7B1%7D%7B5%7D%20%29%5E3)
The powers outside will be multiplied as: 

where the exponent is
and it is a rational number by definition of rational numbers
Answer:
$ 1.32
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- Cost of each Mott's Stick = $0.22 .
Now there are 6 sticks in an order . So the cost of six sticks will be ,
→ Cost = $ 0.22 × 6
→ Cost = $ 1.32
<h3>
Hence the cost of an order of sticks is $ 1.32 </h3>
Answer:
1.8 mph
Step-by-step explanation:
Speed of the steamer in still water is 18 mph.
Speed of the current = x mph.
1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.
The distance traveled downstream = 3(18 + x) miles.
2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is
hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.
The distance traveled upstream
miles.
3. The distances are the same, so

Solve this equation:

Answer:
20
Step-by-step explanation:
4x + 2y = 8
When x = -2: 4x + 2y = 8
4(-2) + 2y = 8
-8 + 2y = 8
+ 8 + 8
2y = 16
2 2
y = 8
(x, y) = (-2, 8)
When x = 1: 4x + 2y = 8
4(1) + 2y = 8
4 + 2y = 8
- 4 - 4
2y = 4
2 2
y = 2
(x, y) = (1, 2)
When x = 3: 4x + 2y = 8
4(3) + 2y = 8
12 + 2y = 8
- 12 - 12
2y = -4
2 2
y = -2
(x, y) = (3, -2)