{"id":9328,"date":"2022-02-20T19:45:00","date_gmt":"2022-02-20T19:45:00","guid":{"rendered":"https:\/\/10minuteschool.com\/content\/?p=9328"},"modified":"2022-05-24T10:04:47","modified_gmt":"2022-05-24T04:04:47","slug":"exponents-or-indices","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/exponents-or-indices\/","title":{"rendered":"\u09b8\u09c2\u099a\u0995 (Exponents or Indices)\u00a0"},"content":{"rendered":"

\u09b8\u09c2\u099a\u0995 \u0995\u09c0 ? <\/b>(What is exponent)<\/b><\/h2>\n

\u2192<\/b> \u0995\u09cb\u09a8 \u09b0\u09be\u09b6\u09bf\u09a4\u09c7 \u098f\u0995\u0987 \u0989\u09ce\u09aa\u09be\u09a6\u0995 \u09af\u09a4\u09ac\u09be\u09b0 \u0997\u09c1\u09a3 \u0986\u0995\u09be\u09b0\u09c7 \u09a5\u09be\u0995\u09c7 \u09a4\u09be\u0995\u09c7 \u0993\u0987 \u0989\u09ce\u09aa\u09be\u09a6\u0995\u09c7\u09b0 \u09b8\u09c2\u099a\u0995 (exponent) \u09ac\u09b2\u09c7<\/b>\u0964 \u09af\u09c7\u09ae\u09a8-<\/span><\/p>\n

\u00a0<\/span>a<\/span>2<\/span>=a\u00d7a<\/span><\/p>\n

\u00a0<\/span>a<\/span>4<\/span>=a\u00d7a\u00d7a\u00d7a<\/span><\/p>\n

\u098f\u0996\u09be\u09a8\u09c7,<\/span><\/p>\n

\u09b6\u09b0\u09cd\u09a4\u09be\u09ac\u09b2\u09bf, <\/span>a<\/span>R<\/span> (\u09ac\u09be\u09b8\u09cd\u09a4\u09ac \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b8\u09c7\u099f) \u098f\u09ac\u0982 <\/span>n<\/span>Q<\/span> (\u09ae\u09c1\u09b2\u09a6 \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09b8\u09c7\u099f)<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce, <\/span>a<\/span> \u09af\u09c7\u0995\u09cb\u09a8 \u09ac\u09be\u09b8\u09cd\u09a4\u09ac \u09b8\u0982\u0996\u09cd\u09af\u09be \u098f\u09ac\u0982 <\/span>n<\/span> \u09af\u09c7\u0995\u09cb\u09a8 \u09a7\u09a8\u09be\u09a4\u09cd\u09ae\u0995 \u09aa\u09c2\u09b0\u09cd\u09a3 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09b9\u09b2\u09c7, <\/span>n<\/span> \u09b8\u0982\u0996\u09cd\u09af\u0995 \u0995\u09cd\u09b0\u09ae\u09bf\u0995 \u0997\u09c1\u09a3 \u09b9\u09b2\u09cb <\/span>a<\/span>n<\/span>\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce, <\/span>a\u00d7a\u00d7a\u2026\u00d7a<\/span> (<\/span>n<\/span> \u09b8\u0982\u0996\u09cd\u09af\u0995\u09ac\u09be\u09b0 <\/span>a<\/span>)<\/span>\u00a0=<\/span>a<\/span>n<\/span>\u0964<\/span><\/p>\n

(\u09e7) <\/b>a<\/span>b<\/span>m<\/span>=<\/span>a<\/span>m<\/span>b<\/span>m<\/span>b\u22600<\/span><\/p>\n

\u0985\u09a5\u09ac\u09be, \u00a0 <\/span>a<\/span>n<\/span>b<\/span>n<\/span>=<\/span>a<\/span>b<\/span>n<\/span><\/p>\n

\u0989\u09a6\u09be\u09b9\u09b0\u09a3:\u00a0<\/b><\/p>\n

    \n
  • x<\/span>4<\/span>y<\/span>4<\/span>=<\/span>x<\/span>y<\/span>4<\/span><\/li>\n
  • x<\/span>5<\/span>7<\/span>5<\/span>=<\/span>x<\/span>7<\/span>5<\/span><\/li>\n<\/ul>\n

    (\u09e8)\u00a0 <\/b>a<\/span>0<\/span>=1\u00a0\u00a0\u00a0\u00a0<\/span>a\u22600<\/span><\/p>\n

    \u0989\u09a6\u09be\u09b9\u09b0\u09a3:<\/b><\/p>\n

      \n
    • 5<\/span>0<\/span>=1<\/span><\/li>\n
    • -3<\/span>0<\/span>=1<\/span><\/li>\n<\/ul>\n

      (\u09e9)\u00a0 <\/b>a<\/span>-n<\/span>=<\/span>1<\/span>a<\/span>n<\/span>\u00a0\u00a0\u00a0\u00a0<\/span>a\u22600<\/span>\u00a0<\/b><\/p>\n

      \u0989\u09a6\u09be\u09b9\u09b0\u09a3:<\/b><\/p>\n

        \n
      • a<\/span>-1<\/span>=<\/span>1<\/span>a<\/span><\/li>\n
      • x<\/span>-5<\/span>=<\/span>1<\/span>x<\/span>5<\/span>x\u22600<\/span><\/li>\n
      • 3<\/span>-1<\/span>=<\/span>1<\/span>3<\/span><\/li>\n<\/ul>\n

        (\u09ea) <\/b>a<\/span>m<\/span>n<\/span>=<\/span>a<\/span>mn<\/span><\/p>\n

        \u0989\u09a6\u09be\u09b9\u09b0\u09a3:<\/b><\/p>\n