Answer:
64x^12 / y^20
Step-by-step explanation:
(4x^3y^-5)^4
<em>Distribute the exponential value of 4 to all terms in the parentheses.</em>
4^4 * x^(3*4) * y^(-5*4)
<em>Multiply each exponent.</em>
64x^12 * y^-20
<em>Make the negative exponent positive by making it a fraction.</em>
64x^12 / y^20
8 is ur answer hope this helps
See the explanation
<h2>
Explanation:</h2>
The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:

For each graph,
will be drawn in red while
will be drawn in blue.
Case 1:

So by equating both equations:

By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:
<u>Solution:</u>

See First Figure below.
Case 2:

Applying a similar method as in case 1.
<u>Solution:</u>

See Second Figure below.
Case 3:

Applying a similar method as in case 1.
<u>Solution:</u>

See Third Figure below.
Case 4:

Applying a similar method as in case 1.
<u>Solution:</u>

See Fourth Figure below.
<h2>Learn more:</h2>
Methods for solving system of equations: brainly.com/question/10185505
#LearnWithBrainly
The required function is
.
<h3>What is piece wise function used for?</h3>
We use piece wise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value.
We know that, the parking lot charges $5 per hour for the first two hours, and then $2.50 per hour after that.
So the function behaves differently in different intervals of its domain, this will be a piece wise function. To write it, we just need to clarify how the function behaves in each part of the domain.
So the function is

So for the first two hours (x is the number of hours), the cost is $5, then for any hour after that, the cost will be the $10 for the first two hours plus $2.50 for each hour after that.
To learn more about piece wise function from the given link:
brainly.com/question/26681300
#SPJ4