We have been given an expression
. We are asked to find the value of A when rewrite our given expression as
.
To solve our given problem, we will use exponent properties.
Using exponent property
, we can rewrite our given expression as:
![\left(\dfrac {6}{17}\right)^{9x}=\left(\left(\dfrac {6}{17}\right)^9\right)^{x}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%20%7B6%7D%7B17%7D%5Cright%29%5E%7B9x%7D%3D%5Cleft%28%5Cleft%28%5Cdfrac%20%7B6%7D%7B17%7D%5Cright%29%5E9%5Cright%29%5E%7Bx%7D)
Now, we will compare our expression with
.
Upon comparing
with
, we can see that
.
Therefore, the value of A is
.
We can further simplify
as:
![\left(\dfrac {6}{17}\right)^9=\frac {6^9}{17^9}=\frac{10077696}{118587876497}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%20%7B6%7D%7B17%7D%5Cright%29%5E9%3D%5Cfrac%20%7B6%5E9%7D%7B17%5E9%7D%3D%5Cfrac%7B10077696%7D%7B118587876497%7D)
An impossible event is one that has no chance of happenening so x = 0 in this case or B
This is the power of powers law. It states that (a^b)^c is equal to a^b*c.
Answer:
Lesser to greater
Step-by-step explanation:
1.742
1.779
1.78
1.84
1.873
1.9