Exponent Rules and Examples A Zero Exponent Rule 10=a Examples: 1) 1120= 2) 1)(0=xyz 3) wrwrwrv 4)1(440== 4) 541460=+=+ 5) 61)1(6600==hx B Negative Exponent Rules nnnnnnabbaaaaa===−−− 1 1 Examples: 1) 811)3(1)3(44=−=−− 2) cabcba233222=−− Notice: Only factors with negative exponents were 'moved'. 3) 822333xxx==− 4) 353255321644mpnmpnpnm ==−− Caution: 24− is not a negative number. A negative exponent does not necessarily mean the value is negative. Think reciprocal rather than negative. C Product Rule nmnmaaa+= (bases must be the same) Examples: 1) 585244rrrr=− 2) 28328323452))((zyxzyxzxyzyx ==−− 3) 111121112104122913133ababbaababa ===−−−−−−−D Quotient Rule nmnmaaa−= (bases must be the same) Examples: 1) 641414443385===− 2) 25256243khkhkhkh==−− 3) 3123122885425643324142222yxyxyxyxyxyyxyx===−−−−− Notice: Product rule was used across first, then quotient rule. E Power Rules ()mnnmaa = Power to a Power: Multiply exponents ()nnnbaab = or nnnbaba= Every factor is raised to exponent outside parentheses. Examples: 1) ( )86682324)(srrsrs ==−− 2) ( )84826221061222531bmbmmmbbmmbbm==•=−−−− When simplifying, product and quotient rules were used. 3) 124212422262255)5(cbacbacab ==−− 4) 3651363615336615311225zyxzyxxzxyxzxyx===−−−−− When simplifying, negative exponent and product rules were used. These rules only involve multiplication, division, and powers; not addition or subtraction. nmnmaaa+≠+
View Full Document
Unlocking...