What is 3⁴ x 3-⁵ x 3-² = ⅓ ⁿ

n = 4

Step-by-step explanation:

Add the powers of 3

4 -5 -3 = - 4

Now these make just 1 power that you have to deal with.

3^-4

and that equates to 1/3 ^ n = 3^ -n

So what is the answer?

3^-4 = 3^-n

Since the bases are the same, the powers can be equated.

- 4 = - n

divide by - 1 to get 4 = n

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.