Quotient of Powers Property

8.3 Quotient of Powers Property

To be able to generate equivalent expressions involving quotients of powers

KEEP YOUR BASE, SUBTRACT YOUR EXPONENTS

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Simplify the expression. Write your answer as a power. 

Use '^' symbol to represent an exponent. No spaces! Ex: 9^12

$$\frac{9^7}{9^4}$$  

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Simplify the expression. Write your answer as a power. 

Use '^' symbol to represent an exponent. No spaces! Ex: 4.2^12

$$\frac{4.2^6}{4.2^5}$$  

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Simplify the expression. Write your answer as a power. 

Use '^' symbol to represent an exponent. No spaces! Ex: (-8)^12

$$\frac{\left(-8\right)^8}{\left(-8\right)^4}$$  

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Simplify the expression. Write your answer as a power. 

Use '^' symbol to represent an exponent. No spaces! Ex: x^12

$$\frac{x^8}{x^3}$$  

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Simplify the expression. Write your answer as a power. 

Use '^' symbol to represent an exponent. No spaces! Ex: 2^12

$$\frac{2^{15}}{2^3\cdot2^5}$$  

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Simplify the expression. Write your answer as a power. 

Use '^' symbol to represent an exponent. No spaces! Ex: d^12

$$\frac{d^5}{d}\cdot\frac{d^9}{d^8}$$  

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Simplify the expression. Write your answer as a power. 

Use '^' symbol to represent an exponent. No spaces! Ex: 5^12

$$\frac{5^9}{5^4}\cdot\frac{5^5}{5^2}$$

Poll

How are you feeling about 8.3 Quotient of Powers Property?

• 1 - Completely confused

• 2 - I understand it, but I need a lot of help

• 3 - I'm okay, I may need help getting started

• 4- I can simplify these problems on my own

• 5 - I can help/explain this skill to others