Answer:
7t^5 - t^3
6x -3 +2x/y
Step-by-step explanation:
A. (7t^8 - t^6)/t^3
Separate into 2 fractions
(7t^8/t^3) - (t^6)/t^3
Remember a^b / a^c = a^ (b-c)
7 t^(8-3) - t^(6-3)
7t^5 - t^3
B (12x^2y - 6xy +4x^2)/2xy
Separate into 3 fractions
12x^2y/2xy - 6xy/2xy +4x^2/2xy
Remember a^b / a^c = a^ (b-c)
12/2 x^(2-1) y^(1-1) - 6/2 x/x * y/y +4/2 x^(2-1) /y
6 x y^0 -3*1*1 +2 x/y
Remember that x^0 = 1
6x -3 +2x/y
