Applying exponential properties, the simplified base for the function is given as follows:

<h3>What is the function?</h3>
The function is represented by the following definition:
![f(x) = 2\sqrt[3]{27^{2x}}](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5Csqrt%5B3%5D%7B27%5E%7B2x%7D%7D)
As an exponent, the function is given by:

27 can be simplified as follows:
27 = 3 x 3 x 3 = 3³
Hence:

Then, the 3 at the exponent multiplies 2x and can be simplified with the 3 of the root, hence:

Hence the simplified base for the function is given as follows:

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Answer:
Yes
Step-by-step explanation:
Multiplicative Inverse of rational number:
When we multiply a rational number and its multiplicative inverse, we get 1

Now,multiply this with (3/-17)

So, -5 2/3 is the multiplicatice inverse of 3/-17
Using linear function concepts, a system of equations with no solutions is created when:

<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The intersection of two lines is the solution of a system of equations. If two lines have the <u>same slope and different intercepts</u>, they will never intercept, that is, the system will not have a solution.
The lines are given as follows:
Hence, for a system with no solution, we need that:

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Answer:
20/9
Step-by-step explanation:
Turn 2_2/3 into fraction.
(2 x 3) = 6 + 2 = 8: fraction- 8/3
5/6 x 8/3 = 20/9