Quotient rule

Quotient rule

Multiple Choice

The Product Rule

• When multiplying terms= add the exponents

• When Raising a power to another power = Multiply the exponents

• When Raising a power to another power = Add the exponents

• When multiplying terms= multiplythe exponents

Multiple Choice

 $x^2\cdot x^2\cdot x^6$  

•  $x^2$  

•  $x^{10}$  

•  $x^{24}$  

•  $x^8$  

Multiple Choice

 $x^{10}\cdot x\cdot x^5$  

•  $x^{15}$  

•  $x^{50}$  

•  $x^{16}$  

Multiple Choice

 $x^3\cdot x^{-6}$  

•  $x^{-3}$  

•  $x^3$  

•  $x^{-9}$  

•  $x^9$  

Multiple Choice

 $\left(x^3\right)^6$  

•  $x^9$  

•  $x^{18}$  

Multiple Choice

 $\left(\left(x^5\right)^2\right)^2$  

•  $x^{20}$  

•  $x^{10}$  

•  $x^{15}$  

Multiple Choice

3/3

• 1

• 3

• 0

• 6

Multiple Choice

123/123

• 0

• 1

• 123

• 2

Multiple Choice

x/x

• 0

• 1

• x

Multiple Choice

What operation does "quotient" mean?

• Multiplication

• Addition

• Subtraction

• Division

For Example

•  $\frac{x^6}{x^2}$  
  

Expanded

 $\frac{x^6}{x^2}$  = $\frac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x}$  

Expanded

 $\frac{x^6}{x^2}$  = $\frac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x}=\frac{x}{x}\cdot\frac{x}{x}\cdot x\cdot x\cdot x\cdot x$  

Expanded

 $\frac{x^6}{x^2}$  = $\frac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x}=\frac{x}{x}\cdot\frac{x}{x}\cdot x\cdot x\cdot x\cdot x=1\cdot1\cdot x\cdot x\cdot x\cdot x$  

We are left with

 $x^4$  

or

 $x^{_{6-\ 4}}$