The simplified value of the exponential expression is 2.
<h3>
How to get the simplified expression?</h3>
Here we need to simplify the expression:
First, you need to remember that:
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
Then we can just write:
![16^{1/4} = \sqrt[4]{16}](https://tex.z-dn.net/?f=16%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%7B16%7D)
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
![2^4 = 16\\\\\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=2%5E4%20%3D%2016%5C%5C%5C%5C%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
So we conclude that the simplified value is 2.
If you want to learn more about exponential expressions:
brainly.com/question/11464095
#SPJ4
As a practical equation, this one doesn't make much sense -- why would the profit per person have a term proportional to the number of people? Let's just go with it.
That's the answer to the first part.
35/x represents a portion of the profit that's 35/x per person, or a constant $35 per tour.
Answers:
13 42 m; B; 0.57 m
Step-by-step explanation:
Data:
Pool A: r = 22 ft
Pool B: D = 13.6 m
Calculations:
1. Radius of Pool A
r = 22 ft × (0.305 m/1 ft) = 6.71 m
2. Diameter of Pool A
D =2r = 2 × 6.71 = 13.42 m
The diameter of Pool A is 13.42 m.
3. Compare pool diameters
The diameter of Pool B is 13.6 m.
So, the diameter of Pool <u>B</u> is greater.
4. Compare circumferences
The formula for the circumference of a circle is
C = 2πr or C = πD
Pool A: C = 2π × 6.71 = 42.16 m
Pool B: r = π × 13.6 = 42.73 m
Pool B - Pool A = 42.73 - 42.16 = <u>0.57 m
</u>
The circumference is greater by <u>0.57 m.</u>
