What is the simplest form of 3√27a3b7

if the problem was .

Step-by-step explanation:

Correct me if I'm wrong by I think you are writing .

I'm first going to look at this as 3 separate problems and then put it altogether in the end.

Problem 1: since  .

Problem 2: since

Problem 3: .  This problem is a little harder because is not a perfect cubes like the others were. But does contain a factor that is a perfect cube. That perfect cube is so rewrite as or .

So problem 3 becomes .  The came from this .

Anyways let's put it altogether:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c