4.7 Division of Exponents

4.7 Division of Exponents

Multiple Select

 $\frac{2^4}{2^2}$  

•  $2^2$  

•  $4$  

•  $2^6$  

•  $2^8$  

 $\frac{2^4}{2^2}$  

•  $\frac{2\cdot2\cdot2\cdot2}{2\cdot2}$  

• Cancel out the 2's that are lined up (on top and bottom)

• Now we just have  $2\cdot2=2^2\ or\ 4$  

Multiple Choice

 $\frac{x^5}{x^2}$  

•  $x^7$  

•  $x^{10}$  

•  $x^3$  

 $\frac{x\cdot x\cdot x\cdot x\cdot x}{x\cdot x}$  

• 5 x's on top, 2 x's on bottom

• How many x's do I have remaining?

• When Dividing, *subtract the exponents of the same base*

Poll

 $\frac{3}{3^3}$  What do you think would happen here?

•  $3^4$  

•  $\frac{1}{3^2}$  

•  $\frac{1}{3^4}$  

 $\frac{3}{3^3}$  

• Can we expand this?

•  $\frac{3}{3\cdot3\cdot3}$  

• Can we cancel out a 3 on top and bottom?

• What do we have left on the top once we cancel out that 3?

•  $\frac{1}{3\cdot3}$ 

•  $\frac{1}{3^2}$  

•  $\frac{1}{9}$  

Multiple Select

 $\frac{2^2}{2^5}$  (Hint: Expand and cancel!)

•  $\frac{1}{2^{10}}$  

•  $\frac{1}{2^3}$  

•  $2^7$  

•  $\frac{1}{8}$  

 $\frac{10x^4}{6x}$  

• Can we divide or simplify the whole numbers first? (10 and 6)

•  $\frac{5x^4}{3x}$  Let's expand the x's now

•  $\frac{5\cdot x\cdot x\cdot x\cdot x}{3\cdot x}$  How many x's can we cancel?

•  $\frac{5x^3}{3}$  

Step by step process for division

• 1. Divide the whole numbers first (the numbers by themselves - no exponents)

• 2. Expand the variables out with how many you have of each one

• 3. Cancel out the like variables on top and bottom

Fill in the Blanks

 $\frac{3b}{10b^3}\rightarrow\ \frac{3}{10b^x}$  What is x?

Multiple Choice

 $\frac{12x^3}{9y^5}$  

•  $\frac{12x^3}{9y^5}$  

•  $\frac{4x^3}{3y^5}$  

•  $\frac{4}{3xy5}$  

•  $\frac{4}{3xy^8}$  

 $\frac{18x^8y^8}{10x^3}$  

• What is first step?

• Expand it out after you simplify the 18 and 10

• Show me on your whiteboards the expansion and what you can cancel out

Multiple Choice

 $\frac{16yx^4}{8x^8y^2}$  

•  $\frac{16}{8x^4y}$  

•  $\frac{16y^3}{8x^4}$  

•  $\frac{2}{yx^4}$  

•  $\frac{2}{x^4y}$