8.2 Dividing Property of Exponents

8.2 Dividing Exponents

​To Divide exponents, we just subtract them.

Multiple Choice

$$\frac{x^4}{x^1}$$  = ?

• $$x^4$$  

• $$x^3$$  

• $$x^5$$  

• $$x^2$$  

Multiple Select

When simplifying $$\frac{x^5}{x^2}$$  what operation do you perform with the exponents?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Evaluate this expression using the quotient of powers rule.

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

Evaluate the expression using the quotient rule.

• x¹³
• x⁵
• x³⁶
• x^-5

​Now with a base and exponent

​N

​MULTIPLE VARIABLES

Steps:

1. Divide bases
2. Subtract exponents
(I CAN ONLY SUBTRACT THE EXPONENTS IF THE VARIABLE IS THE SAME!!)

​Two examples:

Multiple Choice

Simplify

• 75x⁶

• 3x²

• 75x²

• 20x⁶

Multiple Choice

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷

Multiple Choice

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Multiple Choice

Simplify $$\frac{10x^4}{15x^2}$$  .

• $$\frac{x^2}{5}$$  

• $$5x^2$$  

• $$\frac{2x^4}{3}$$  

• $$\frac{2x^2}{3}$$  

Multiple Choice

Simplify

• x⁴/3
• 3x¹⁰
• 36x¹⁰
• 3x⁴

Multiple Choice

(5b²  )(8b)

• 45b³
• 40b³
• 13b²
• 5b³

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

​Notice the last few slides -

2 slides ago. We multiplied. and then last slide we divided. Lets put it together now.

​

​Here are out steps.. for now

• Multiply exponents (multiply bases, add exponents)

• Divide (divide bases, subtract exponents)

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

On this one MULTIPLY EVERYTHING AND THEN DIVIDE

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D