Lesson 4 Homework Practice Powers Of Monomials Answers To Math
Presentation on theme: "Glencoe Chapter 1 Real Numbers Lesson 4 Powers of Monomials"— Presentation transcript:
1 Glencoe Chapter 1 Real Numbers Lesson 4 Powers of Monomials
Power to powerGlencoe Chapter 1 Real Numbers Lesson 4 Powers of Monomials
2 Objective Use the Laws of Exponents to find powers of monomials.
Previously: We used Laws of Exponents to multiply and divide monomials.NOW: We will use Laws of Exponents to find power to power.Next: We will use Laws of Exponents to evaluate expressions with negative exponents.
3 Mathematical background
Sometimes the rules for the Power of a Power and the Power of a Product are combined into one rule: (ambn)p = ampbnpIn general, to simplify an expression involving monomials, write an equivalent expression in whicheach base appears exactly once,there are no powers of powers, andall fractions are in simplest form.
4 Example #1 22 22 22 Let start with a cube.
How do we find the volume of a cube?V = BhV = (s)(s)(s)V = s3V = (22) (22) (22)V = (22)3V = 26222222
5 Think-pair-shareIn the expression (84)3 what does the exponent 3 mean?What expression represents that situation?What is ?What is another way to write using multiplication?What is (84)3 simplified?What do you think the rule is? How is it written? It means you use 84 as a factor three times. 84 • 84 • 84124 • 3812
6 Let’s try some together
( 5 2 ) 8( 𝑘 7 ) 5( 𝑎 3 ) 7
7 Example #2What do you think will happen when we raise 3m2 to the third power?(3 𝑚 2 ) 3( 4𝑝 3 ) 4(3 𝑐 4 ) 3
8 challengeSimplify: [(73)4]5 Simplify: ( 1 2 𝑥 𝑦 2 ) 2 [(−2𝑥 ) 3 ] 2
9 homeworkYou are going to be using your textbook for your homework tonight. This book is to go back-and-forth from school to home EVERYDAY!!!! Sometimes, you will need to do the work on notebook paper and NOT on the page in the book. So, know where you put your homework each day. Page 35 #1-12
10 Pass out the 5 multiple choice questions
Ticket outPass out the 5 multiple choice questions
Presentation on theme: "Powers of Monomials Lesson #4 Pg. 191."— Presentation transcript:
1 Powers of MonomialsLesson #4Pg. 191
2 What You’ll Learn To find the power of a power
Uses multiplicationTo find the power of a productFind the power of each factor and multiply
3 Power of a Power To find a power of a power, MULTIPLY the exponents
4 Example of Product of Powers Rule
6 Power of a ProductTo find the power of a product, find the power of each factor and multiplyRULEExample
7 Example of Product of Powers Rule
9 Homework HW: pg. 194 (1-7) pg. 195 (1-12) ALSO TEST CORRECTIONS