Laws of Exponents: Dividing Monomials Division Rules for

Laws of Exponents: Dividing Monomials Division Rules for

Laws of Exponents: Dividing Monomials Division Rules for Exponents Laws of Exponents: Dividing Monomials Division Rules of Exponents Essential Questions How do I divide powers with the same bases? How do I simplify expressions with negative and zero exponents? Laws of Exponents: Dividing Monomials Rules and Properties Quotient-of-Powers Property For all nonzero real numbers x and all integers m and n, where m > n, xm mn = x 1. xn Examples: When dividing like bases, subtract the exponents. x5 53 2 x = x = x3 Laws of Exponents: Dividing Monomials Examples Use the properties of exponents to simplify expressions containing fractions. 7 3 x y 2. = x6y xy 2 3 5 2x

4x 3. 6x2 = 3 Subtract the exponents for the x (7 -1= 6) Subtract the exponents for the y (3 -2 = 1) Reduce the coefficients. Subtract the exponent of the variables. Laws of Exponents: Dividing Monomials Do These Together 4. x6 2 4 = x x 5. x3y7 = x2y3 xy4 6. 5x7y3z6 15x3yz4 7. 10x3y4 6xy 4 x4y2z2 = 3 = 5x2 3 Laws of Exponents: Dividing Monomials TRY THESE 8. x8 5 3 = x x

9. x4y7 x4y2 = y5 4 6 8 6x yz 10. 2x2y3z5 11. 18x5y9 12x3y3 = 3x2y3z3 3x2y6 = 2 Laws of Exponents: Dividing Monomials 0 3 3 By applying the product of powers property to the following example, we find that: 3 0 3 7 3 0 7 3 7 We can then divide both

sides of the equation by 37 to determine the value of 30 3 7 3 1 7 7 3 3 7 0 Zero Property of Exponents A nonzero number to the zero power is 1: a 0 1, a 0 Laws of Exponents: Dividing Monomials Evaluate the following expressions. A . 7 0 2 B. 4 4 2 0 C. 2 5

3 D . 3 8 0 E. 0 0 Solutions A . 1 2 B. 4 4 2 4 0 0 C. 2 5 3 1 D . 1 E. 0 0 is u n d e fin e d . 1 125 125 Laws of Exponents: Dividing Monomials By applying the product of powers property to the following example, we find that:

a n a n a n ( n ) a 0 1 We can then divide both sides of the equation by an to determine the value of a-n a n a n a n a n a a n a -n 1 n

1 n a 1 a n is th e re c ip ro c a l n of a : a n 1 a n , a 0 Laws of Exponents: Dividing Monomials Evaluate the following expressions. A . 3 2 1 B. 4 -3 Rewrite the following expressions using positive exponents. A . 5x Solutions A . 3 B.

2 1 4 3 B. A . 5x 1 3 1 9 4 4 4 3 64 B . 3 5 a b a -3 b -5 1 5

2 a b a 1 3 5 3 x 5 x b 4 5 4 Laws of Exponents: Dividing Monomials 1) Evaluate the following expressions. A. - 3 5 0 B. 3 2 3 C. 9 4 9 7 D .

2 2 4 E. 1 3 2 120 2) Rewrite the following expressions with positive exponents. A. y 6 B . 7c 4 2s3 C . 2 r D . (5a ) 3 E. 1 4 3 x Laws of Exponents: Dividing Monomials A . B. 3 2 3 3 5 0

D . 1 2 2 4 22 4 4 3 2 4 256 3 3 8 24 C. 9 4 9 7 9 47 93 243 E. 1 3 2 12 0

2 3 1 9 Laws of Exponents: Dividing Monomials A . y 6 B . 7c 4 C. r 3 2 D . 6 y c E. 3x 1 4 3 1 125a 3 4

14 2s3 r 2 3 2 1 3 3 5 a 4 4 2s r 1 7 c 5 a 3 1 7 2s 1 4 x x x4 81 4

Recently Viewed Presentations

  • Solution Chemistry

    Solution Chemistry

    * * Practice Problem What is the molar mass (Mm) of Butylated hydroxytoluene (BHT) if a solution of 2.500 g of BHT in 100.0 g of benzene (Kf = 5.065 oC/m; Tf = 5.455 oC) had a freezing point of...
  • Patient Safety

    Patient Safety

    Mr. Potato Head LEAN Simulation Exercise. A fun, interactive, innovative way to demonstrate: Quality Improvement concepts. Patient Safety/Medical Errors. LEAN Process Management
  • Daily Fix-Its - Jefferson County Public Schools

    Daily Fix-Its - Jefferson County Public Schools

    Daily Fix-Its Fifth Grade Scott Foresman Reading Street Unit 2 Week 2 The childrens eyes were sad? Them fled from the nazis. The childrens eyes were sad? Them fled from the nazis. The children's eyes were sad. They fled from...
  • Activity 3.1.3 Program Planning - VEX

    Activity 3.1.3 Program Planning - VEX

    Complex behaviors are broken down into simple behaviors, which are broken down into basic behaviors. Presentation Name. Course Name. ... Program Design. Enter label for inputs and outputs in the Motors and Sensors Setup windowand change drop down to identify.
  • Teamwork and Work Habits

    Teamwork and Work Habits

    This new respect and responsibility is a great opportunity for the employees of today, but only if they possess the necessary team interaction skills! To be a team player: An individual must possess a team spirit and a willingness to...
  • Welcome to Career night - Cedar Crest College

    Welcome to Career night - Cedar Crest College

    A source for those who want to explore creative writing (as well as other types of writing), getting published, grammar and writing tips, writing prompts, and writing resources. Navigating the Job Search
  • Computational Analysis of Microbial Communities to find ...

    Computational Analysis of Microbial Communities to find ...

    Arial MS Pゴシック Wingdings Times Network 1_Network Microsoft Excel Worksheet Computational Analysis of the Taxanomical Classification of Short 16S rRNA Sequences Overview Human Microbiome Project (HMP) 16S rRNA Using 16S for Species Identification Project Goal Reference Dataset GreenGenes's Full Collection...
  • The path of the Moon in the sky - Physics & Astronomy

    The path of the Moon in the sky - Physics & Astronomy

    The path of the Moon in the sky The line of nodes of the Moon's orbit You can get out your SC1 chart and check it out for yourself! How do we explain all of this? What is the "physics"...