Question

A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule

(6x2y3)(4xy3)

where y represents the number of white tiles.

Which simplified expression represents the number of colored tiles used for a path of length x feet?

24x2y6

24x3y6

24x2y9

24x3y9

Answer 1

@insanitycat

Answer 2

(6x2y3)(4xy3) so when we multiply monomials like this, we multiply the coefficients like normal so 6*4=24 but when variables are multiplied, the exponents are added so we have
x^2*x^1=x^3 and y^3+y^3=y^6 and now we combine the terms
24x^3y^6
do you understand?

Answer 3

yes I do thank you so much