{"id":254,"date":"2015-09-18T20:20:24","date_gmt":"2015-09-18T20:20:24","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=254"},"modified":"2015-11-02T21:38:38","modified_gmt":"2015-11-02T21:38:38","slug":"key-concepts-glossary-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/odessa-collegealgebra\/chapter\/key-concepts-glossary-2\/","title":{"raw":"Key Concepts & Glossary","rendered":"Key Concepts & Glossary"},"content":{"raw":"

Key Equations<\/h2>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Rules of Exponents<\/strong>\r\nFor nonzero real numbers [latex]a[\/latex] and [latex]b[\/latex] and integers [latex]m[\/latex] and [latex]n[\/latex]<\/td>\r\n<\/tr>\r\n
Product rule<\/strong><\/td>\r\n[latex]{a}^{m}\\cdot {a}^{n}={a}^{m+n}[\/latex]<\/td>\r\n<\/tr>\r\n
Quotient rule<\/strong><\/td>\r\n[latex]\\frac{{a}^{m}}{{a}^{n}}={a}^{m-n}[\/latex]<\/td>\r\n<\/tr>\r\n
Power rule<\/strong><\/td>\r\n[latex]{\\left({a}^{m}\\right)}^{n}={a}^{m\\cdot n}[\/latex]<\/td>\r\n<\/tr>\r\n
Zero exponent rule<\/strong><\/td>\r\n[latex]{a}^{0}=1[\/latex]<\/td>\r\n<\/tr>\r\n
Negative rule<\/strong><\/td>\r\n[latex]{a}^{-n}=\\frac{1}{{a}^{n}}[\/latex]<\/td>\r\n<\/tr>\r\n
Power of a product rule<\/strong><\/td>\r\n[latex]{\\left(a\\cdot b\\right)}^{n}={a}^{n}\\cdot {b}^{n}[\/latex]<\/td>\r\n<\/tr>\r\n
Power of a quotient rule<\/strong><\/td>\r\n[latex]{\\left(\\frac{a}{b}\\right)}^{n}=\\frac{{a}^{n}}{{b}^{n}}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n

Key Concepts<\/h2>\r\n