INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

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• ## Related Books

 1 answerLast reply by: Dr Carleen EatonTue Aug 2, 2016 10:49 PMPost by Catherine MOLAKAL on July 27, 2016i mean in example 2 0 answersPost by Catherine MOLAKAL on July 27, 2016in example 1, wont z be 2-1= 1 and in the end multiplied into 3so z^3 1 answerLast reply by: Dr Carleen EatonFri Nov 4, 2011 4:45 PMPost by Jonathan Taylor on November 3, 2011Z SQUARE 2-1

### Dividing Monomials

• To divide one monomial by another one, use the following properties of exponents:
• am ÷ an = a m–n, (a ÷ b)m = am ÷ bm, a0 = 1 for any nonzero number a, and a–n = 1 ÷ an for any nonzero number a.
• An expression is in simplified form if it has only positive exponents.
• You will often be asked to convert a given expression into simplified form

### Dividing Monomials

[(15x7y4z5)/(51x4y3z2)]
• [5/17]x7 − 4y4 − 3z5 − 2
[5/17]x3yz3
[(20x5y6z9)/(48x3y4z6)]
[5/12]x2y2z3
[(13a8b9c14)/(39a5b7c10)]
[1/3]a3b2c4
( [(4j5k6l7)/(16j2k4l0)] )3
• l0 = 1( [(1j5 − 2k6 − 4l7)/(4 ×1)] )3
• ( [(j3k2l7)/4] )3
• [(( j3 )3( k2 )3( l7 )3)/4]
[(j9k6l21)/4]
( [(14j4k8l22)/(21j2k5l15)] )2
• ( [(2j4 − 2k8 − 5l22 − 15)/3] )2
• ( [(2j2k3l7)/3] )2
• [(( 2 )2( j2 )2( k3 )2( l7 )2)/3]
[(4j4k6l14)/3]
( [(60a7b11c13)/(12a4b6c5)] )4
• ( [(5a7 − 4b11 − 6c13 − 5)/1] )4
• ( [(5a3b5c8)/1] )4
• ( 5a3b5c8 )4
• 54( a3 )4( b5 )4( c8 )4
625a12b20c32
[(x − 4y3z − 6)/(x5y − 4z − 2)]
• x − 4 − 5y3 − ( − 4)z − 6 − ( − 2)
• x − 9y7z − 4
• a − n = [1/(an)]
[(y6)/(x9z4)]
[(x − 7y − 9z11)/(x4y − 6z − 3)]
• x − 7 − 4y − 9 − 6z11 − 3
• x − 11y − 15z8
[(z8)/(x11y15)]
[(a − 6b − 17c25d31)/(a − 5b8c − 11d10)]
• a − 6 − ( − 5)b − 17 − 8c25 − ( − 11)d31 − 10
• a − 1b − 25c36d21
[(c36d21)/(ab25)]
( [(4r − 2s3t5)/(5r5s − 6t − 7)] ) − 2
• ( [(4r − 2 − 5s3 − ( − 6)t5 − ( − 7))/5] ) − 2
• ( [(4r − 7s9t12)/5] ) − 2
• ( [(4s9t12)/(5r7)] ) − 2
• [(( 4s9t12 ))/(( 5r7 ) − 2)] − 2
• [(4 − 2s − 18t − 24)/(5 − 2r − 14)]
• [(52r14)/(42s18t24)]
[(25r14)/(16s18t24)]

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Dividing Monomials

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Properties of Exponents 0:05
• Dividing with Same Base 0:15
• Example
• Quotient Raised to Power 2:22
• Example
• Raising to 0 Power 4:00
• Example
• Negative Exponents 5:45
• Example
• Example 1: Simplify the Monomial 7:33
• Example 2: Simplify the Monomial 14:56
• Example 3: Simplify the Monomial 13:30
• Example 4: Simplify the Monomial 17:35