Help Wanted: Where: ET Booth Middle School When: Month of September Salary: 1¢ the first day, and your salary will double everyday. Would you apply? Why or Why not?

Is it worth it? DayDaily EarningsTotal Earnings

Is it worth it? DayDaily EarningsTotal Earnings 11¢ 22¢3¢ 34¢7¢ 48¢15¢ 516¢31¢ 632¢63¢ 764¢127¢ 8128¢255¢ 9256¢511¢ 10512¢1023¢ ¢2047¢ ¢4095¢ ¢8191¢ ¢16383¢

Is it worth it? DayDaily EarningsTotal Earnings ¢ ¢ ¢ ¢ ¢ ¢

P. 159 Are you Ready? answers 1.Order of operations, expression 2.Variable 3. Equation4. Inequality 5) 20 6) 147)1508)09) 8 10) 8011) x=1212)z=1413. w=64 14)t=015)p=3016)m=017)16,807 18) )8120)14,641 21)262,144 22)823)100,000,000 24)59,04925)1

Introduction to Exponents

A POWER: 3434 base exponent 3 4 = 3·3·3·3 = 81

3 4 ≠ 12!!! Why?

Example 1: Write each expression in expanded form. a)5 3 b) 4 2 ·x 3 c) 5 6 ·x 2 ·y 3

Example 2: Write each expression as a power. a)5·5·5·5 b) 3·3·x·x·x c) 4·4·4·4·4·x·x·y·y·y

Example 3: Evaluate each expression. a)5 3 b) 14 2 c) 2 5

Order of Operations

Example 4: Evaluate each expression. a)8 – ÷ 3 2 b) 3 2 ÷ ÷ 3

Example 5: Evaluate the expression using the values given. a – (b – b 2 ) + 1; when a = 6 and b = 1

Exponents: Product Property

Rewrite each product in expanded form, and then rewrite it in exponential form with a single base. 1)3 4 · 3 2 2)5 4 · 5 3 3) 8 3 · 8 2 4) 10 4 · 10 6 Compare the exponents in each final expression that you got to the exponents in the original problem, Describe a way to find the exponents in the final expression without using expanded form. Complete the following: b m · b n = b |

Simplify. Your answer should contain only positive exponents. 1)2 3 ·2 5 2) 3 4 ·3 5 ·3 6 3) 2v 4 ·3v 6

Simplify. Your answer should contain only positive exponents. 4) 6r 3 ·7r 2 5) 5x 2 ·4x 6) 3xy 2 ·4x 3 y 4