Product Rule, Quotient Rule, and combining those rules

Product Rule, Quotient Rule, and combining them

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Objective

- To use the product rule and the quotient rule to correctly simplify expressions

- Goal: to score 7 out of 10 questions correct

Product Rule

Multiple Choice

Practice: Use the product rule to simplify:

$$b^4\cdot b^2$$  

• $$b^8$$  

• $$b^{16}$$  

• $$b^6$$  

Multiple Choice

Practice: Use the product rule to simplify:

$$4a^2\times6a^5$$  

• $$24a^7$$  

• $$12a^27$$  

• $$24a^{10}$$  

Multiple Choice

Practice:
Use the product rule to simplify:

$$3\left(x^2\right)\left(2x^3\right)$$  

• $$5x^6$$  

• $$6x^5$$  

• $$12x^5$$  

Quotient Rule

Instruction:

Multiple Choice

Practice:
Use the quotient rule to simplify:

$$\frac{6x^2y^4}{8xy^2}$$  

• $$\frac{3xy^2}{4}$$  

• $$\frac{1xy^3}{2}$$  

• $$\frac{3}{4xy^2}$$  

Multiple Choice

Practice:
Use the quotient rule to simplify:

$$\frac{14y^3z^5}{7y}$$  

• $$7y^4z^5$$  

• $$2y^3z^5$$  

• $$2y^2z^5$$  

Multiple Choice

Practice:
Use the quotient rule to simplify:

$$\frac{4m^3n^4}{8m^5n^2}$$  

• $$2m^{-2}n^2$$  

• $$\frac{n^2}{2m^2}$$  

• $$\frac{m^8n^6}{2}$$  

Sometimes we will need to use multiple exponent rules at the same time.

When this happens, work inside out.

Multiple Choice

Use the product and quotient rules to simplify:

$$\frac{a^4b^8}{a^3b^7}$$  
Choose the most correct answer.

• $$a^7b^{15}$$  

• $$ab$$  

• $$a^1b^1$$  

Multiple Choice

Use the product and quotient rules to simplify:

$$\frac{x^{11}y^{15}}{x^7y^9}$$  

• $$x^{18}y^{24}$$  

• $$x^4y^6$$  

• $$x^2y^3$$  

Multiple Choice

Use the product and quotient rules to simplify:

$$\left(6m\right)\left(7m^2n\right)\left(n^4\right)$$  

• $$42m^3n^5$$  

• $$42m^2n^4$$  

• $$13m^2n^4$$  

Multiple Choice

Use the product and quotient rules to simplify:

$$\frac{6\left(x^2\right)\left(x^4\right)}{2x^2}$$  

• $$12x^{16}$$  

• $$3x^6$$  

• $$3x^4$$  

Open Ended

Our current content is exponent rules: how exponents operate differently than coefficients or constants.

What skills do we need for this content? What do you have to know how to do to be successful?

Poll

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