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?
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.
To find the length of the rope used to tie 1 bag, we need to divide the total length of the rope by the number of bags.
Given:
Total length of the rope = 36x^6 + 96x^7 - 256x^8
Number of bags = 4x^5
To calculate the length of the rope used to tie 1 bag, we can divide the total length of the rope by the number of bags:
Length of rope used to tie 1 bag = (36x^6 + 96x^7 - 256x^8) / (4x^5)
Now, let's simplify the expression:
Length of rope used to tie 1 bag = (36x^6) / (4x^5) + (96x^7) / (4x^5) - (256x^8) / (4x^5)
Next, we can simplify the fractions by dividing the coefficients and subtracting the exponents of x:
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.