(a^4)^5/(a*b)^8 a^20 / ((a*b)^8 a^8 * a^12 a^7 * b^3 a^12 b^11 ------------------------ = --------------------------- = --------------- : ---------------- = -------------- x ------------- (2a7b3-b3a7)/b^11 (2a7b3-a7b3)/b^11 a^8 * b^8 b^11 b^8 a^7 * b^3 a^7 * a^5 b^8 * b^3 = -------------- x --------------- = a^5 b^8 a^7 * b^3 Uprość wyrażenie [(b3)5 / (a2*b8)] b^15 a^8 * b^8 b^15 3a -------------------- * a^7 = --------------- * a^7 : ---------------- = --------------- * a^7 x ------------- (ab)8 : (3a) (a^2 * b^8) 3a a^2 * b^8 a^8 * b^8 b^7 3 3 = --------------- * a^7 x -------- = ------------- a * b^8 a^8 a^2 * b 3 / (a^2 * b) = 3 / [(5/13)^2 * (-0,12)) = 3 / (25/169 * (-0,12) ) = 3 / (-3/169) = 3 * (-169/3) = -169
1. (a^4)^5/(ab)^8 : (2a^7b^3-b^3a^7)/b^11 = = a^20/(a^8·b^8) : b^11/[b^3(2a^7-a^7] = = a^12/b^8 · b^8/a^7 = a^5 2. a^7(b^3)^5)/(a^2·b^8) : (ab)^8/3a = = a^7·b^15/(a²·b^8) : a^8·b^8/(3a) = = a^7·b^15/(a^2·b^8) · 3a/(a^8·b^8) = = 3a^8·b^15/(a^10·b^16) = = 3a^-2·b^-1 = = 3/(a^2·b) 3/(a^2·b) = 3:[(5/13)^2 ·(-0,12) = 3:(-3/169) = 3·(-169/3) = -169