Answer:
![24(u ^ 6)w ^ 8(y ^ 3)](https://tex.z-dn.net/?f=24%28u%20%5E%206%29w%20%5E%208%28y%20%5E%203%29)
Step-by-step explanation:
To find the common minimum multiple between two expressions, you must choose the common factors with their greatest exponent and the non-common factors with their greatest exponent.
For this problem we have the following expressions:
![24y ^ 3u ^ 6w ^ 8](https://tex.z-dn.net/?f=24y%20%5E%203u%20%5E%206w%20%5E%208)
and
![2u^6w^5](https://tex.z-dn.net/?f=2u%5E6w%5E5)
To begin with, you can decompose the term 24 into its prime factors.
24 | 2
12 | 2
6 | 2
3 | 3
one
![24 =(2 ^ 3)3](https://tex.z-dn.net/?f=24%20%3D%282%20%5E%203%293)
Then the previous expressions are as follows.
![2 ^ 33y ^ 3u ^ 6w ^ 8](https://tex.z-dn.net/?f=2%20%5E%2033y%20%5E%203u%20%5E%206w%20%5E%208)
and
![2u ^ 6w ^ 5](https://tex.z-dn.net/?f=2u%20%5E%206w%20%5E%205)
We take the common terms first with their greatest exponent:
![2 ^ 3(u ^ 6)w ^ 8](https://tex.z-dn.net/?f=2%20%5E%203%28u%20%5E%206%29w%20%5E%208)
Now the terms are not common with its greatest exponent
![3(y ^ 3)](https://tex.z-dn.net/?f=3%28y%20%5E%203%29)
Finally the multiple common multiple is:
![2 ^ 3(u ^ 6)w ^ 8(3)(y ^ 3)](https://tex.z-dn.net/?f=2%20%5E%203%28u%20%5E%206%29w%20%5E%208%283%29%28y%20%5E%203%29)
![24(u ^ 6)w ^ 8(y ^ 3)](https://tex.z-dn.net/?f=24%28u%20%5E%206%29w%20%5E%208%28y%20%5E%203%29)
Answer:
Step-by-step explanation:
<u>Equation for the Highland population</u>
<u>Equation for the Lowville population</u>
<u>Populations are equal after</u>
- 12200 + 300x = 21000 - 250x
- 300x + 250x = 21000 - 12200
- 550x = 8800
- x = 8800/550
- x = 16 years
Answer:
Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.
Step-by-step explanation:
Answer:
1. 6
2. 27
3. 158
4. 9
5. 380
6. 108
7. 48
8. 10
9. 115
10. 57
Step-by-step explanation: