let x and y be numbers, y ≠ 0 and let n be a positive integer. How is (x/y)^n related to x^n and y^n?

X∧N and Y ∧N share a variable

Step-by-step explanation: X∧N

                                             Y∧N

they have the last same variable

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."