This is how I would go about solving this, hope it helps.
Answer:
p = -2
Step-by-step explanation:
Start by dividing both sides by 81 to get the power by itself.
![3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}](https://tex.z-dn.net/?f=3%5Ep%20%5Ccdot%2081%20%3D%209%5C%5C%5C%5C3%5Ep%3D%5Cfrac%7B9%7D%7B81%7D%3D%5Cfrac%7B1%7D%7B9%7D)
Write the fraction using a power of 3.
![3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2](https://tex.z-dn.net/?f=3%5Ep%3D%5Cfrac%7B1%7D%7B3%5E2%7D%5C%5C%5C%5C3%5Ep%3D3%5E%7B-2%7D%5C%5C%5C%5Cp%3D-2)
This assumes you know about negative exponents: ![a^{-n}=\frac{1}{a^n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D%3D%5Cfrac%7B1%7D%7Ba%5En%7D)
Answer:
54,706 > 45,802
Step-by-step explanation:
Well, as you know, the > symbol means that one number has a greater value than another. For example, 2 > 1. The way we can find that out is using subtraction. Take 54,706 - 45,802, and if that number is positive, then the first number is greater than the other.
54,706 - 45,802 = 8,904
8,904 is a positive.
Therefore, 54,706 > 45,802.
Answer:
3 negative 3 positive
Step-by-step explanation:
-3+3=0