University:
High School
Course:
High School Functions
Academic year:

2024
Views:

184

Pages:

3
Author:

J. Anderson

[2.1] EXPONENTS LAWSAlways find acommonEXAMPLE #1: ADDING & SUBTRACTING FRACTIONSx4denominator'.b.3.22.39=4/1/20= =4x-3y2 4x-3y2= keep5by by00K DominatorbyEXAMPLE #2: MULTIPLYING & DIVIDING FRACTIONS34a.a. 2253 312 - 2= 2.3 (flip)break dow3410 -2= 6 - 2=4/156to lowestt12 - 2fraction1/2=/RULE #1: We can NEVER have a fraction with a denominator of 0?e.g. =3 26/6 6 = ?/why? 2.3=6This means ox = =6I,RULE #2: Cross multiplication of fractions only happens when/They have an equal sign (=) betweenthem2 x10 =BXe.g. 3 L3 B5(2) = 3.X10=110=3x3 [2.1] EXPONENTS LAWSRULE #3: We can only cancel out ONLY when multiplying fractions.you can canal factors :e.g.#1 *(v+l) = x+1 1 e.g.th 2 4x 3x+931(x(xx3) I,XIyou can use concelling!RULE #4: We can NOT cancel out when adding or subtracting fractionse.g.H x+8 No ! Bad idea!xDon'te.g. #2 2x+2cancel!4EXPONENT LAWSLAWSTANDARD EXAMPLEEXPANDED EXAMPLEADDING & SUBTRACTINGCOMBINE LIKE TERMS!!MONOMIALSDO NOT change common variables3x2y+ 2x2y=5x2y =and exponentsPRODUCTxa.xb=xatb(-2x2y)(3x3y2) = -6x5yBQUOTIENTxa-xb=xa-b28x528x = 22442x 3POWER OF A POWER(xa)b=xa.b(-2x3)2=4x6NEGATIVE EXPONENTx-a=14x28x52x3EXPONENT OF ZEROx o 1 12x° = 12 [2.1] EXPONENTS LAWSSimplify using exponent laws.12km12k3m8a.b. (2c2d)2(334)9x4y4= 3K-m3= 20c5ds= 27r3y33m34c4d9x4y4K3flipto, get / ==5+ve= 3(x-1/1532-ve=d(2dz3)-2to bottod.w5z2xyof March's=2-2z-= = x-20 3fractionxWSZ2I3x-1===x 172 W52226 4W5283x-1Combine fractions and exponents.=13x-xx'73/=+= 3x.34y3.23.23x 16+2.33.2= 9x+Sy366/= 9xt gy3-63