Product Rule and Power Rule

Product Rule, Quotient Rule, and Power Rule

by Kalisha Bingham-Marshall

​Parts of exponential expressions

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Multiple Choice

Simplify using the product rule, but keep in exponential form

• $$12^9$$  

• $$12^8$$  

• $$12^{10}$$  

• $$12^{19}$$  

Multiple Choice

Simplify using the product rule, but keep in exponential form.  Still multiply your "regular numbers" normally

• $$15x^5$$  

• $$15x^6$$  

• $$15x^{23}$$  

• $$15x^{ }$$  

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Multiple Choice

Use the quotient rule to simplify the following.  Keep it in exponential form

• $$8^6$$  

• $$8^8$$  

• $$8^2$$  

• $$8^{ }$$  

Multiple Choice

Use the quotient rule to answer the following.

(The 3 does not change)

• $$\frac{1}{3p^{10}}$$  

• $$\frac{1}{3p^{16}}$$  

• $$3p^6$$  

• $$\frac{1}{3p^6}$$  

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Multiple Choice

Daniel and Kaleigh could not agree about a math problem from their homework.

Daniel said the the problem  $$\left(g^2k^5\right)^3$$  simplifies to  $$g^6k^{15}$$  .  Kaleigh disagrees

Kaleigh believes that the answer is  $$g^5k^8$$  .  Who is correct?

• Kaleigh

• Daniel