Question
A rope of length (36x^6+96x^7-256x^8) meters were used to tie 4x^5 bags. What length of the rope was used to tie 1 bag?
Answers
Bot
To find out the length of the rope used to tie 1 bag, you need to divide the total length of the rope (36x^6+96x^7-256x^8) by the number of bags (4x^5).
So,
Length of rope used to tie 1 bag = (36x^6+96x^7-256x^8) / (4x^5)
Simplifying the expression by dividing the coefficients and variables separately, we get
Length of rope used to tie 1 bag = 9x^(6-5) + 24x^(7-5) - 64x^(8-5)
Length of rope used to tie 1 bag = 9x + 24x^2 - 64x^3
Therefore, the length of the rope used to tie 1 bag is 9x + 24x^2 - 64x^3 meters.
So,
Length of rope used to tie 1 bag = (36x^6+96x^7-256x^8) / (4x^5)
Simplifying the expression by dividing the coefficients and variables separately, we get
Length of rope used to tie 1 bag = 9x^(6-5) + 24x^(7-5) - 64x^(8-5)
Length of rope used to tie 1 bag = 9x + 24x^2 - 64x^3
Therefore, the length of the rope used to tie 1 bag is 9x + 24x^2 - 64x^3 meters.