Quotient Rule

Quotient Rule

By Amber White

What is the quotient rule?

To divide powers with the same base, keep the base and subtract the
exponents.

Example - b⁹∕b³=b⁹⁻³=b⁶

Multiple Choice

Quotient Rule states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Multiple Choice

True or False: 

• True 
• False

What if there's a coefficent?

Divide the coefficients of the same base and subtract their exponents.

Example - 15c¹⁰/5c²=3c⁸

Multiple Choice

• 4y⁶
• 4y²²
• 30y⁶
• 30y²²

Your Turn!

Multiple Choice

Simplify this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Multiple Choice

Simplify this expression using the quotient rule.

• 9⁵

• 9⁹

• 1⁵

• 9^-5

Multiple Choice

$$\frac{w^4y^6x^2}{w^2y^3x}$$ Simplify this expression 

• $$w^6y^9x^3$$  

• $$w^2y^3x$$  

• 4-3-1

• wxy

Multiple Choice

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰
• a⁸b⁷

Multiple Choice

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷

Multiple Choice

$$\frac{\ \ \ x^{15}\ \ \ }{y^{12}}$$  

• $$xy^3$$  

• $$x^{27}$$  

• Not like bases, laws of exponents can not be applied 

• $$y^3$$  

Multiple Choice

$$\frac{18x^{10}}{2x^3}$$  Hint: divide coefficients

• $$9x^7$$  

• $$9x^{13}$$  

• $$18x^7$$  

• $$2x^{13}$$  

Multiple Choice

Simplify the expression.

• 1²²
• 1³⁰
• 6²²
• 6³⁰