Answer:
The answer is 7⁷ .
Step-by-step explanation:
Given that Indices Law is,
![\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Ba%7D%5E%7Bm%7D%20%7D%7B%20%7Ba%7D%5E%7Bn%7D%20%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%20-%20n%7D%20)
So the correct working and steps are :
![\frac{ {7}^{4} }{ {7}^{ - 3} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B7%7D%5E%7B4%7D%20%7D%7B%20%7B7%7D%5E%7B%20-%203%7D%20%7D%20)
![= {7}^{4 - ( - 3)}](https://tex.z-dn.net/?f=%20%3D%20%7B7%7D%5E%7B4%20-%20%28%20-%203%29%7D%20)
![= {7}^{4 + 3}](https://tex.z-dn.net/?f=%20%3D%20%20%7B7%7D%5E%7B4%20%2B%203%7D%20)
![= {7}^{7}](https://tex.z-dn.net/?f=%20%3D%20%20%7B7%7D%5E%7B7%7D%20)
Andre make a mistake in,
![{7}^{4 - 3}](https://tex.z-dn.net/?f=%20%7B7%7D%5E%7B4%20-%203%7D%20)
The original height of the plant is 20 inches, and each week for 4 weeks its height increases by 2h inches, so at the end of 4 weeks its height would be:
20 + 4(2h) = 20 + 8h
Now for the next two weeks the plant grows in height by h inches each week, so we need to add a further 2h inches to the equation. Thus the expression that shows the height of the plant after 6 weeks is:
20 + 8h + 2h = 20 + 10h, therefor A is the correct answer