12/13 - Exponents Day 2

​Warm Up

LO: SWBAT apply the properties of exponents to
simplify algebraic expressions with integral
exponents.

DOL: Given a set of problems, students will
correctly simplify algebraic expressions using the
laws of exponents including: power rule, and
negative rule to simplify algebraic expressions with
integral exponents in at least 4 of 5 questions.

A.11B: Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational
exponents.

8

Lesson Vocabulary

Answer the

essential question
on a response card.

9

= 7 x 7 x 7

Exponents represent

Repeated multiplication.

7 times itself 3 times.

Dropdown

When using the Product Rule, we

Select answer

the exponents. When using the Quotient Rule we ​

Select answer

the exponents.

Today you will learn how to apply the
properties of exponents to simplify …

algebraic expressions.

11

Power rule, and negative exponent rule.

Expand and Simplify

12

Expand

Simplify

= 7⁸ = 5764801

(7²)⁴ =

(7)(7) (7)(7) (7)(7) (7)(7)

There are 8 factors of 7

Let’s Explore

Labelling

Drag the correct answer to the appropriate question.

Drag labels to their correct position on the image

​Let's try Power of a Quotient Rule...

Poll

Which method would you perform first?

• Simplify in the parenthesis first

• Distribute First

​Let's step it up...

Multiple Choice

Simplify (keep in exponential form)

• 7⁸

• 7⁵

• 7⁶

• 7⁷

Multiple Choice

Simplify

• $$d^{-2}$$

• $$d^2$$

• $$d^{36}$$

• $$d^{18\ }$$

Multiple Choice

$$\left(\frac{6xy^5z}{2xy^4z}\right)^{3\ }$$  

• $$27xy^3z$$  

• $$3^3y^3$$  

• $$27xyz$$  

• $$27y^3$$  

Demonstration of Learning

DOL: Given a set of
problems, students
will correctly
simplify algebraic
expressions using
the laws of
exponents
including: power
rule, and negative
rule to simplify
algebraic
expressions with
integral exponents
in at least 4 of 5
questions.

37

Open Ended

How can I simplify algebraic
expressions involving integer
exponents?