Answer:
b. 4^-3
Step-by-step explanation:
The expression can be simplified to a number of different levels. Here, it looks like the answer choices want you to simplify it like this:
![\dfrac{8^{-3}}{2^{-3}}=\left(\dfrac{8}{2}\right)^{-3}=\boxed{4^{-3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%5E%7B-3%7D%7D%7B2%5E%7B-3%7D%7D%3D%5Cleft%28%5Cdfrac%7B8%7D%7B2%7D%5Cright%29%5E%7B-3%7D%3D%5Cboxed%7B4%5E%7B-3%7D%7D)
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In this case, the applicable rule of exponents is ...
(a/b)^c = (a^c)/(b^c)
Answer:
a= $8 c=$3
Step-by-step explanation:
Answer:
1. 2
2. 3
3. Not exactly sure what it's asking but t would equal -4.5
We are given the area of a circle and we are asked to find its diameter. To do that, we need to remember the formula for the area of a circle:
![A=\frac{D^2\pi^{}}{4}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7BD%5E2%5Cpi%5E%7B%7D%7D%7B4%7D)
Now we solve for the diameter "D". First by multiplying both sides of the equation by 4
![4A=D^2\pi](https://tex.z-dn.net/?f=4A%3DD%5E2%5Cpi)
Now we divide by pi
![\frac{4A}{\pi}=D^2](https://tex.z-dn.net/?f=%5Cfrac%7B4A%7D%7B%5Cpi%7D%3DD%5E2)
Now we take square root on both sides:
![\sqrt{\frac{4A}{\pi}}=D](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B4A%7D%7B%5Cpi%7D%7D%3DD)
Simplifying:
![2\sqrt[]{\frac{A}{\pi}}=D](https://tex.z-dn.net/?f=2%5Csqrt%5B%5D%7B%5Cfrac%7BA%7D%7B%5Cpi%7D%7D%3DD)
Replacing the value for the area:
![2\sqrt[]{\frac{\pi}{\pi}}=D](https://tex.z-dn.net/?f=2%5Csqrt%5B%5D%7B%5Cfrac%7B%5Cpi%7D%7B%5Cpi%7D%7D%3DD)
Simplifying: