{"id":1679,"date":"2024-09-30T19:44:58","date_gmt":"2024-09-30T19:44:58","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=1679"},"modified":"2024-10-07T19:43:41","modified_gmt":"2024-10-07T19:43:41","slug":"1-2-%cf%80%cf%81%ce%ac%ce%be%ce%b5%ce%b9%cf%82-%ce%bc%ce%b5-%ce%bc%ce%bf%ce%bd%cf%8e%ce%bd%cf%85%ce%bc%ce%b1","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=1679","title":{"rendered":"1.2 \u03a0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2 \u03bc\u03b5 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03b1"},"content":{"rendered":"

<\/i> \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2<\/i><\/b><\/span><\/h4>\n

\u039f\u03b9 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03bf\u03c5\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03b9\u00b4 \u03b1\u03c5\u03c4\u03cc \u03c3\u03c4\u03b9\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b3\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd \u03cc\u03bb\u03b5\u03c2 \u03bf\u03b9 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c0\u03c1\u03ac\u03be\u03b5\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2.<\/p>\n

\u03a0\u03c1\u03cc\u03c3\u03b8\u03b5\u03c3\u03b7 \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd<\/strong><\/span><\/em><\/p>\n

\u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1:<\/strong> \u039d\u03b1 \u03ba\u03ac\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c0\u03c1\u03ac\u03be\u03b7 \"5x^2y + 3x^2y\"<\/p>\n

\u0393\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03b4\u03cd\u03bf \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03b1, \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03bc\u03bf\u03b9\u03b1<\/strong>, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03ba\u03cd\u03c1\u03b9\u03bf \u03bc\u03ad\u03c1\u03bf\u03c2 \"x^2y\". \u0391\u03c5\u03c4\u03cc \u03bc\u03b1\u03c2 \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 \u03c4\u03bf\u03c5\u03c2.<\/p>\n

\u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03be\u03b1\u03bd\u03b1\u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c9\u03c2 \u03b5\u03be\u03ae\u03c2:<\/p>\n

  <\/span>   <\/span>\"\[5x^2y + 3x^2y = (5 + 3) \cdot x^2y = 8x^2y\]\"<\/p>\n

\u0391\u03c5\u03c4\u03cc\u03c2 \u03bf \u03c4\u03c1\u03cc\u03c0\u03bf\u03c2 \u03b3\u03c1\u03b1\u03c6\u03ae\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03bc\u03b9\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03b7\u03c2 \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2<\/strong>, \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b4\u03b7\u03bb\u03ce\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9:<\/p>\n

  <\/span>   <\/span>\"\[\alpha(\beta + \gamma) = \alpha \beta + \alpha \gamma\]\"<\/p>\n

\u03a3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae, \u03c4\u03bf \"x^2y\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03ba\u03bf\u03b9\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 (\u03cc\u03c0\u03c9\u03c2 \u03c4\u03bf \"\alpha\" \u03c3\u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1), \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b4\u03c5\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 5 \u03ba\u03b1\u03b9 3 (\u03c4\u03bf \"\beta\" \u03ba\u03b1\u03b9 \u03c4\u03bf \"\gamma\").<\/p>\n

\u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9:<\/p>\n

\n

\u03a4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03bf\u03bc\u03bf\u03af\u03c9\u03bd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf \u03cc\u03bc\u03bf\u03b9\u03bf \u03bc\u03b5 \u03b1\u03c5\u03c4\u03ac \u03ba\u03b1\u03b9 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ae \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ce\u03bd \u03c4\u03bf\u03c5\u03c2. <\/span><\/em><\/p>\n

\u0391\u03bd \u03b4\u03cd\u03bf \u03c4\u03bf\u03c5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf\u03bd \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03bc\u03bf\u03b9\u03b1, \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03ac \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf \u03b1\u03bb\u03bb\u03ac \u03bc\u03b9\u03b1 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7.<\/em><\/span><\/p>\n<\/div>\n

 <\/p>\n

\u03a0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd<\/strong><\/em><\/span><\/p>\n

\u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u00a0 \u03bc\u03b5 \u03c4\u03b7 \u03b2\u03bf\u03ae\u03b8\u03b5\u03b9\u03b1 \u03c4\u03c9\u03bd \u03b9\u03b4\u03b9\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd.<\/p>\n

\u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1:<\/strong> \u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03bf \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \"(2x^3y^2) \cdot (5x^2y^4)\"<\/p>\n

\u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03c3\u03b5\u03b9\u03c1\u03ac \u03c4\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd \u03c3\u03c4\u03bf\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc (\u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03b1\u03b8\u03b5\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1). \u0394\u03b7\u03bb\u03b1\u03b4\u03ae, \u03c7\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 (2 \u03ba\u03b1\u03b9 5) \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 x \u03ba\u03b1\u03b9 y, \u03bf\u03bc\u03b1\u03b4\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae. \u0391\u03c5\u03c4\u03ae \u03b3\u03c1\u03ac\u03c6\u03b5\u03c4\u03b1\u03b9:<\/p>\n

  <\/span>   <\/span>\"\[(2 \cdot 5) \cdot (x^3 \cdot x^2) \cdot (y^2 \cdot y^4)\]\"<\/p>\n

 <\/p>\n

\u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \u03bc\u03b5 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03b2\u03ac\u03c3\u03b7 (\u03b8\u03c5\u03bc\u03cc\u03bc\u03b1\u03c3\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c4\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03ba\u03b8\u03ad\u03c4\u03b5\u03c2):<\/p>\n

  <\/span>   <\/span>\"\[10 \cdot x^{3+2} \cdot y^{2+4}=10x^5y^6\]\"<\/p>\n

\u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9:<\/p>\n

\n

\u03a4\u03bf \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf \u03bc\u03b5:<\/span><\/em><\/p>\n

    \n
  • \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ae<\/strong> \u03c4\u03bf \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03c4\u03c9\u03bd \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ce\u03bd \u03c4\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9<\/span><\/em><\/li>\n
  • \u03ba\u03cd\u03c1\u03b9\u03bf \u03bc\u03ad\u03c1\u03bf\u03c2<\/strong> \u03c4\u03bf \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03cc\u03bb\u03c9\u03bd \u03c4\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd \u03c4\u03bf\u03c5\u03c2 \u03bc\u03b5 \u03b5\u03ba\u03b8\u03ad\u03c4\u03b7 \u03ba\u03ac\u03b8\u03b5 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03b5\u03ba\u03b8\u03b5\u03c4\u03ce\u03bd \u03c4\u03b7\u03c2.<\/span><\/em><\/li>\n<\/ul>\n<\/div>\n

     <\/p>\n

    \u0394\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd<\/strong><\/em><\/span><\/p>\n

    \u0397 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b2\u03b1\u03c3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ba\u03c5\u03c1\u03af\u03c9\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03c9\u03bd \u03b9\u03b4\u03b9\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03c4\u03c9\u03bd \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ce\u03bd \u03c4\u03bf\u03c5\u03c2.<\/p>\n

    \u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1:<\/strong> \u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03bf \u03c0\u03b7\u03bb\u03af\u03ba\u03bf: \u00a0\"\dfrac{6x^5y^3}{2x^2y}\"<\/p>\n

    \u0391\u03bd \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1 \u03c3\u03b5 \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1\u03c4\u03b1 \u00a0\u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03af\u03b4\u03b9\u03b5\u03c2 \u03b2\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c4\u03c9\u03bd \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd, \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5:<\/p>\n

      <\/span>   <\/span>\"\[\dfrac{6x^5y^3}{2x^2y} = \dfrac{6}{2} \cdot \dfrac{x^5}{x^2} \cdot \dfrac{y^3}{y}\]\"<\/p>\n

    \u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b1\u03c0\u03bb\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ce\u03bd \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \"\dfrac{\alpha^{\grm}}{\alpha^{\grn}} = \alpha^{\grm-\grn}\".<\/p>\n

      <\/span>   <\/span>\"\[3 \cdot x^{5-2} \cdot y^{3-1} = 3x^3y^2\]\"<\/p>\n

    \n

    <\/i> <\/i>Let’s Practise<\/b><\/span><\/h4>\n

    \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1.<\/span><\/strong><\/em> \u039d\u03b1 \u03ba\u03ac\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2:<\/p>\n

    \u03b1.<\/strong> \u00a0\"5x^2 + 3x^2\"
    \n\u03b2.<\/strong> \u00a0\"7x^3 -4x^3\"
    \n\u03b3.<\/strong> \u00a0\"2xy -5xy\"
    \n\u03b4.<\/strong> \"6x^2y + 9yx^2\"
    \n\u03b5.<\/strong> \u00a0\"-8x^4 + 3x^4+x^4\"
    \n\u03c3\u03c4.<\/strong> \u00a0\"2x^2 + 5x^2 - x^2\"
    \n\u03b7.<\/strong> \u00a0\"4xy + 3yx -6xy\"
    \n\u03b8.<\/strong> \u00a0\"-7x^2y + 5x^2y +2x^2y\"
    \n\u03b9.<\/strong> \u00a0 \"\dfrac{3}{4}x^2 + \dfrac{1}{2}x^2\"
    \n\u03ba.<\/strong> \"\sqrt{8}x^3 + \sqrt{32}x^3\"<\/p>\n

    \u03a4\u03b9 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9; \u03a4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03bf\u03bc\u03bf\u03af\u03c9\u03bd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf;<\/p>\n

    \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 2. <\/span><\/strong><\/em>\u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b1 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03b1:<\/p>\n

    \u03b1.<\/strong> \"(3x^2y) \cdot (4x^3y^2)\"
    \n\u03b2.<\/strong> \"(-5xy^3) \cdot (2x^2y)\"
    \n\u03b3.<\/strong> \u00a0\"\left( \dfrac{1}{2}x^2y \right) \cdot \left( \dfrac{4}{3}x^3 \right)\"
    \n\u03b4.<\/strong> \"(7x^3) \cdot (-x^2y)\"
    \n\u03b5.<\/strong> \u00a0\"\left(\dfrac{3}{4}x \right) \cdot \left( \dfrac{8}{5}xy^2 \right)\"
    \n\u03c3\u03c4.<\/strong> \u00a0\"(\sqrt{8}x^2y^3) \cdot \left( \sqrt{2}x^4 \right)\"
    \n\u03b6.<\/strong> \u00a0\"(-9x^3y^2) \cdot \left( \dfrac{2}{3}x^2y \right)\"
    \n\u03b7.<\/strong> \"\left( \dfrac{2}{5}x^2y^3 \right) \cdot \left( -5x^3y \right)\"
    \n\u03b8.<\/strong> \"(\sqrt{48}x^2y) \cdot \left( -2 \sqrt{3}xy^2 \right)\"
    \n\u03b9.<\/strong> \u00a0\"(-2x^4y) \cdot \left( \dfrac{1}{2}x^2y^2 \right)\"<\/p>\n

    \u03a4\u03b9 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9; \u03a4\u03bf \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf;<\/p>\n

    \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 3. <\/span><\/strong><\/em>\u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b1 \u03c0\u03b7\u03bb\u03af\u03ba\u03b1:<\/p>\n

    \u03b1.<\/strong> \u00a0\"\dfrac{8x^5y^3}{4x^2y}\"<\/div>\n
    \u03b2.<\/strong> \u00a0\"\dfrac{15x^4y^2}{5x^2y^3}\"<\/div>\n
    \u03b3.<\/strong> \"\dfrac{18x^6y^4}{6x^8y^2}\"<\/div>\n
    \u03b4.<\/strong> \"\dfrac{-9x^5y}{3x^2}\"<\/div>\n
    \u03b5.<\/strong> \"\dfrac{\dfrac{10}{3}x^7}{\dfrac{5}{6}x^3}\"<\/div>\n
    \u03c3\u03c4.<\/strong> \"\dfrac{21xy^3}{7x^3y}\"<\/div>\n
    \u03b6.<\/strong> \"\dfrac{16x^8y^2}{4x^4y^5}\"<\/div>\n
    \u03b7.<\/strong> \"\dfrac{-12x^9y^5}{6x^3y^2}\"<\/div>\n
    \u03b8.<\/strong> \"\dfrac{\sqrt{20}x^4y^6}{\sqrt{5}x^2y^3}\"<\/div>\n
    \u03b9.<\/strong> \"\dfrac{-30x^3y^4}{15x^2y^4}\"<\/div>\n
    \n

    \u03a4\u03b9 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b1\u03b9; \u03a4\u03bf \u03c0\u03b7\u03bb\u03af\u03ba\u03bf \u00a0\u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf;<\/p>\n

    \n

    \u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1:<\/strong> \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u0393 \u0393\u03c5\u03bc\u03bd\u03b1\u03c3\u03af\u03bf\u03c5 (\u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b9\u03bf\u03c2 \u0391\u03c1\u03b3\u03c5\u03c1\u03ac\u03ba\u03b7\u03c2 , \u03a0\u03b1\u03bd\u03b1\u03b3\u03b9\u03ce\u03c4\u03b7\u03c2 \u0392\u03bf\u03c5\u03c1\u03b3\u03ac\u03bd\u03b1\u03c2, \u039a\u03c9\u03bd\u03c3\u03c4\u03b1\u03bd\u03c4\u03af\u03bd\u03bf\u03c2 \u039c\u03b5\u03bd\u03c4\u03ae\u03c2, \u03a3\u03c4\u03b1\u03bc\u03b1\u03c4\u03bf\u03cd\u03bb\u03b1 \u03a4\u03c3\u03b9\u03ba\u03bf\u03c0\u03bf\u03cd\u03bb\u03bf\u03c5, \u039c\u03b9\u03c7\u03b1\u03ae\u03bb \u03a7\u03c1\u03c5\u03c3\u03bf\u03b2\u03ad\u03c1\u03b3\u03b7\u03c2 \u03a5.\u03a0\u0391\u0399.\u0398.)<\/p>\n

    Creative Commons \u0391\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u0394\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03bf\u03cd – \u039c\u03b7 \u0395\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03ae \u03a7\u03c1\u03ae\u03c3\u03b7 – \u03a0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u0394\u03b9\u03b1\u03bd\u03bf\u03bc\u03ae 4.0 \u0394\u03b9\u03b5\u03b8\u03bd\u03ad\u03c2<\/strong><\/p>\n

    \"\"<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

    \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2 \u039f\u03b9 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ad\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03bf\u03c5\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03b9\u00b4 \u03b1\u03c5\u03c4\u03cc \u03c3\u03c4\u03b9\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b3\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd \u03cc\u03bb\u03b5\u03c2 \u03bf\u03b9 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c0\u03c1\u03ac\u03be\u03b5\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b9\u03c3\u03c7\u03cd\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2. \u03a0\u03c1\u03cc\u03c3\u03b8\u03b5\u03c3\u03b7 \u03bc\u03bf\u03bd\u03c9\u03bd\u03cd\u03bc\u03c9\u03bd \u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1: \u039d\u03b1 \u03ba\u03ac\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c0\u03c1\u03ac\u03be\u03b7 \u0393\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03b4\u03cd\u03bf \u03bc\u03bf\u03bd\u03ce\u03bd\u03c5\u03bc\u03b1, \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03bc\u03bf\u03b9\u03b1, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c4\u03bf 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