Answer:
![6z^{4}](https://tex.z-dn.net/?f=6z%5E%7B4%7D)
Step-by-step explanation:
Given in the question an expression,
![\frac{ (2z^5)(12z^3)}{4z^4}](https://tex.z-dn.net/?f=%5Cfrac%7B%20%282z%5E5%29%2812z%5E3%29%7D%7B4z%5E4%7D)
Step 1
Apply exponential "product rule"
![x^{m}x^{n}=x^{m+n}](https://tex.z-dn.net/?f=x%5E%7Bm%7Dx%5E%7Bn%7D%3Dx%5E%7Bm%2Bn%7D)
![\frac{ 12(2)z^5)(z^3)}{4z^4}](https://tex.z-dn.net/?f=%5Cfrac%7B%2012%282%29z%5E5%29%28z%5E3%29%7D%7B4z%5E4%7D)
![\frac{ (24)z^5)(z^3)}{4z^4}](https://tex.z-dn.net/?f=%5Cfrac%7B%20%2824%29z%5E5%29%28z%5E3%29%7D%7B4z%5E4%7D)
![\frac{ 24(z^{(5+3)})}{4z^4}](https://tex.z-dn.net/?f=%5Cfrac%7B%2024%28z%5E%7B%285%2B3%29%7D%29%7D%7B4z%5E4%7D)
![\frac{ 24(z^{8})}{4z^4}](https://tex.z-dn.net/?f=%5Cfrac%7B%2024%28z%5E%7B8%7D%29%7D%7B4z%5E4%7D)
Step 2
Apply exponential " divide rule"
![\frac{x^{m}}{x^{n}}=x^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7Bm%7D%7D%7Bx%5E%7Bn%7D%7D%3Dx%5E%7Bm-n%7D)
![\frac{24/4(z^{8})}{z^4}](https://tex.z-dn.net/?f=%5Cfrac%7B24%2F4%28z%5E%7B8%7D%29%7D%7Bz%5E4%7D)
![\frac{6(z^{8})}{z^4}](https://tex.z-dn.net/?f=%5Cfrac%7B6%28z%5E%7B8%7D%29%7D%7Bz%5E4%7D)
![\frac{6(z^{8-4})}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B6%28z%5E%7B8-4%7D%29%7D%7B1%7D)
Answer:
272.5 m²
Step-by-step explanation:
1/2x4x9=18
(9+18)/2=13.5. 13.5x11=148.5
(18+14)/2=16. 16x7=112
12+148.5+112= 272.5
Hope this helps .. sorry if it’s wrong .
Answer:
The mean is 52.
Step-by-step explanation:
The mean is the sum of all elements divided by the number of elements.
In this problem, we have that:
Elements
56 47 48 52 62 59 49 56 43 48
Sum
![56+47+48+52+62+59+49+56+43+48 = 520](https://tex.z-dn.net/?f=56%2B47%2B48%2B52%2B62%2B59%2B49%2B56%2B43%2B48%20%3D%20520)
Number of Elements
10 elements
The mean is
![M = \frac{520}{10} = 52](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B520%7D%7B10%7D%20%3D%2052)