Answer:
.
Step-by-step explanation:
The given expression is

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.
Using properties of exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)

![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.
Therefore, the required expression is
.
The table represents the exponential function:

<h3>
Which function is represented by the table?</h3>
Here we have the table:
x y
-1 1/11
0 1
1 11
2 121
3 1331
Some things that are useful to identify this as an exponential equation are:
For any real number a different than zero:


With these three things, we conclude that we have an exponential equation, because when we evaluate in x = -1, we have a rational number.
When we evaluate in x = 0 we have 1.
Such that the function is:

Notice that:

And so on.
If you want to learn more about exponential functions:
brainly.com/question/11464095
#SPJ1
OL is perpendicular to ON, which means that there is a 90 degree angle being created between these two line segments. So, angle LON is equal to 90 degrees. Because LON is a 90 degree angle and we have two angles within it, those two angles are complimentary. We can add LOM and MON together and they will equal 90 degrees.
3x - 15 + 5x - 23 = 90
8x - 38 = 90
8x = 128
x = 16 degrees
Angle MON = 5x - 23
5(16) - 23 = 57 degrees
Angle MON = 57 degrees
Hope this helps!! :)
Answer:
$9.50
Step-by-step explanation:
:)
The z-statistic can be calculated as the difference in the population mean and sample mean divided by the standard error. The standard error can be calculated as the standard deviation divided by square root of sample size. The standard error:
SE = 12/ sqrt(20) = 2.68
The z-statistic: (195 -208) 2.68 = -4.86