Alg1 Lesson 4.0: Law of Exponents

Lesson 4.0: Law of Exponents

Obj: 11B: I can simplify exponential expressions.

EQ: How do I simplify exponential expressions?

Roles:
Facilitator
Scribe
Resourcer
Includer

Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas and prior info
● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles

Facilitator

• Make sure that all peers are staying on task.

• Give advice or suggestions to resolve the problem.

• Be sure everyone is able to explain.

Scribe

• Make sure peers organize their results on their own papers.

• Remind peers to use color, arrows, and other math tools to
communicate your mathematics, reasons, and connections.

• Be ready to join the teacher for a huddle.

Resourcer

• Make sure peers are getting the materials needed.

• Make sure that all materials are put away neatly.

• Make sure that peers are logged in to the needed site.

• Help troubleshoot any technology difficulties that may arise.

Includer

• Make sure that all peers are talking about their work.

• Helps keep peers’ voice volume low.

• Encourages everyone to ask questions.

• Communicates conflicts or questions to the teacher.

Poll

What's your role?

• Resourcer

• Includer

• Scribe

• Facilitator

● Check off tasks & skills on calendar.

● Select skills to work on.

● Work on Deltamath.

Remember to work on the following too…

Part 1: Law of Exponents

Numerical Forms

Standard Form is also
known as Decimal Form.
It is not the only form that
can have decimals,
however.

Multiple Choice

What is 2^3 in standard form?

• 4
• 2.3

• 8
• 6

Multiple Choice

What is 7^4 in expanded form?

• 7^2 * 7^2
• 7 * 7 * 7 * 7
• 2,401

• 49* 49

Multiple Choice

What is 0.75 as a fraction?

• 1/2
• 3/25

• 75/10

• 3/4

Multiple Choice

What is 847,200 in scientific notation?

• 847.2 x 10^3
• 84.72 x 10^-4

• 8.472 x 10^6
• 8.472 x 10^5
• 8.472 x 10^2

Multiple Choice

Simplify 8^2𝑡𝑤𝑡^5

• 64t^6w

• 16t^5w

• 64t^5w

Drag and Drop

3³b⁷b^-3 = ​

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b^​

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Drag these tiles and drop them in the correct blank above

27

4

10

9

6

Multiple Choice

If d^(5x+1)d^(2x-7) = d^(t), what is the value of t?

• 7x-6
• 10x^2-33x-7

• 3x+8

• 7x-5

Multiple Select

Answer the question.

• A.

• B.

• C.

• D.

• E.

Multiple Choice

Simplify. $$\frac{8x^2y^6}{6xy}$$

• $$\frac{4xy^5}{3}$$

• $$2xy^5$$

• $$\frac{4y^6}{x}$$

Multiple Choice

Simplify 21mn/24m^3n^9.

• 7/8m^3n^8
• 7/8m^2n^8
• 3/4m^2n^9
• 21/24m^2n^7

Drag and Drop

(2xy^4)^3 = ​

Placeholder

x^​

Placeholder

y^​

Placeholder

Drag these tiles and drop them in the correct blank above

8

3

12

6

7

Multiple Choice

Simplify. $$(x^8y^3z^{-12})^{\frac{1}{2}}$$

• $$\frac{x^4y^3}{z^6}$$

• $$\frac{x^4y^{\frac{3}{2}}}{z^6}$$

• $$x^2y^3z^{-6}$$

• $$x^4\sqrt[]{y^3}z^6$$

Multiple Choice

$$\left(cd\right)^{\frac{1}{2}}$$ in radical form is ...

• $$\sqrt[]{cd}$$

• $$\sqrt[\frac{1}{2}\ ]{cd}$$

• $$2\ \sqrt[]{cd}$$

Multiple Choice

$$\sqrt[]{25x^7}$$ in exponential form is...

• $$5x^{\frac{7}{2}}$$

• $$5x^7$$

• $$5x^{\frac{7}{4}}$$

Drag and Drop

(7/x^5)^-2 = ​

Placeholder

/​

Placeholder

5^-3 = ​

Placeholder

/​

Placeholder

Drag these tiles and drop them in the correct blank above

x^10

49

14

125

1

5

15

Multiple Choice

Simplify. $$\left(\frac{16y^{-6}}{k^{-10}}\right)^{-\frac{1}{2}}$$

• $$\frac{y^3}{4k^5}$$

• $$\frac{y^3}{8k^5}$$

• $$\frac{8k^5}{y^3}$$

• $$\frac{4k^5}{y^3}$$

Multiple Choice

(x^8y/2)^0

• 1
• undefined

• x^8y/2
• 0

Multiple Choice

0^0

• 1
• undefined

• -1

• 0

Part 2: Simplifying

Multi-Step Expressions

Multiple Choice

Simplify the expression.

• $$17x^7y^3$$

• $$24x^7y^4$$

• $$8x^7y^7$$

• $$36xy$$

• $$4x^3y^7$$

Part 3: Practice

Performance Task

Exponent Properties

Drag and Drop

Suppose you have an expression where you are multiplying two monomials that have the same base. What could you do to simplify any exponents in the expression? If you ​

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two monomials that have the same ​

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, you can ​

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the exponents to simplify the expression.

Drag these tiles and drop them in the correct blank above

multiply

add

base

power

Drag and Drop

Suppose you have an expression where you are dividing two monomials that have the same base. What could you do to simplify any exponents in the expression? If you ​

Placeholder

two monomials that have the same ​

Placeholder

, you can ​

Placeholder

the exponents to simplify the expression.

Drag these tiles and drop them in the correct blank above

divide

subtract

base

power

Drag and Drop

Suppose you have an expression where you are raising a monomial to a power. What could you do to simplify any exponents in the expression? If you raise a monomial to a power, you can ​

Placeholder

the exponents to simplify the expression.

Drag these tiles and drop them in the correct blank above

multiply

add

Drag and Drop

Suppose you are taking the square root or the cube root of an expression. What
exponent would you use to express the square root or the cube root? You can use

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to express the square root and the exponent ​

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to express the cube root.

Drag these tiles and drop them in the correct blank above

1/2

1/3

2

4

3

1/4

Drag and Drop

Suppose you have an expression in the denominator of a fraction. What exponent would you use to express that? You can use the ​

Placeholder

​

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for the entire expression to express a denominator.

Drag these tiles and drop them in the correct blank above

-1

2

1/2

exponent

base

Grading Scale

Random Question of the Day Time

https://wheelofnames.com/4ke-epz We’ll spin the
wheel as a class and spend a minute or so
discussing our answers.