Institute of Education

Mandy Mcdaniel

Description

• exposé - matière potentielle : journey history

P a g e | 1 Institute of Education Travel, Subsistence and Other Expenses Policy December 2011

• claims for reimbursement of expenses by individuals
• breakfast accommodation
• ioe business
• mileage rate
• institute
• expenses
• travel
• staff
• cost
• time time
• time after time
• time to time

Sujets

• Academic department
• Finance minister
• Third party
• Number
• Royaume-Uni
• Travel

Informations

• Publié par: romek
• Nombre de lectures: 19
• Langue: English

Extrait

Lesson 82 Example 1Quotient of Powers 3 6 2 6x y Simplify .Assume thatxandyare not equal to zero. 4 6x y 3 6 23 62 6x y  6   y  =Group powers that have the same base. 4   4   6x y 6y     3  16  42  1  =(6 )(x)(y)Quotient of Powers 2 22  =6x yor 36x ySimplify. Example 2 Power of a Quotient 2 2 
3m n  Simplify .  5p  2 2 2 2 (
3m n ) 
3m n  =Power of a Quotient   2 5p ( 5 p )   2 2 2 2 (
3 ) ( m ) n =Power of a Product 2 2 5p 4 2 9m n =Power of a Power 2 25p Example 3Zero Exponent Simplify each expression. Assume that no denominator is equal to zero. 2 30 a. (0.6a b) 2 300 (0.6a b1) =a= 1 2 x y b. 0 x 2 2 x yx y 0 =a= 1 0 1 2 =x ySimplify.

Example 4 Negative Exponents Simplify each expression. Assume that no denominator is equal to zero. 3
8 x y a.
2 4 x 3
8 3
8 x y  1   x  y  =    Group powers with the same base.  
2
2 4 4 x 1       1   1  3
(
2) = (x)   Quotient of Powers and Negative Exponent Properties   8 4 y     5  1   x   1  =       Simplify. 8 4 1 y       5 x =Multiply fractions. 8 4y 3
2 3 ( 2c d ) b.
4
6
9c d 3
2 33 9
6 ( 2c d ) 2c d =Power of a Product
4
6
4
6
9c d
9c d 8 9 –(4) 6– (6)3 = (c)(d)= 8Quotient of Powers, 2
9 8 13 0 = c dSimplify. 9 13 8c = Zero Exponent Properties and Multiply 9 Example 5Apply Properties of Exponents MultipleChoice Test Item Write the ratio of the height of the triangle to the base of the triangle in simplest form. 1 11 A B CD2 4 2 Read the Test Item A ratio is a comparison of two quantities. It can be written in fraction form. Solve the Test Item 2 the height of the triangle isx y 2 the base of the triangle is 2x y

2 height of triangle x y = base of triangle 2 2x y  1  2  21  1  =(x)(y)   2    1  0 0 1  =x yor   2 2   The answer is C.

Substitute.

Quotient of Powers

0 0 x= 1 andy= 1